2.3 Polynomial Equations

📖 Chapter 2 Polynomial Equations and Inequalities
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1

001. Q1a

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:240🎬 vIdXeEk_Fv0
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2

001. Q1b

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:200🎬 82D25zwCCVw
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3

001. Q1c

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:210🎬 31qNX1I8AVU
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4

001. Q1d

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:180🎬 dw8RJsZus50
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5

001. Q1e

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Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:180🎬 kHPN5AxkKIs
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6

001. Q1f

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Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:210🎬 X8AdukV7Jq0
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7

001. Q1g

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Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:210🎬 FLvWq2ZamN0
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8

002. Q2a

Question
Answer
📚 Related Lectures
12.1.1 AdvFun, Polynomial Graph, given graph, describe equation
🎓 001. From Graph to Equation of Polynomial
⏱️ 0:430🎬 6vhRGaNswBs
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9

002. Q2b

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Answer
📚 Related Lectures
12.1.1 AdvFun, Polynomial Graph, given graph, describe equation
🎓 001. From Graph to Equation of Polynomial
⏱️ 0:490🎬 88ZVEM_NnsQ
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10

002. Q2c

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Answer
📚 Related Lectures
12.1.1 AdvFun, Polynomial Graph, given graph, describe equation
🎓 001. From Graph to Equation of Polynomial
⏱️ 0:580🎬 LYimNGrbIdo
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11

002. Q2d

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Answer
📚 Related Lectures
12.1.1 AdvFun, Polynomial Graph, given graph, describe equation
🎓 001. From Graph to Equation of Polynomial
⏱️ 1:130🎬 ttdPkOu3KtE
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12

002. Q2e

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Answer
📚 Related Lectures
12.1.1 AdvFun, Polynomial Graph, given graph, describe equation
🎓 001. From Graph to Equation of Polynomial
⏱️ 1:150🎬 yC_prLmDe8U
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13

003. Q3a

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:260🎬 W_2sGRkw_wo
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14

003. Q3b

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:310🎬 Ha95-uvsW1k
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15

003. Q3c

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Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:340🎬 mw5EYMxKA0c
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16

003. Q3d

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:290🎬 qOSFd5wg210
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17

003. Q3e

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:420🎬 JoW9bGda4tE
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18

003. Q3f

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:340🎬 3ROdCIe7zT0
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19

003. Q3g

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial Equation, given in Factored Form, solve
🎓 001. Factored Form
🎓 002. Factored Form with No Solution
⏱️ 0:400🎬 lLl5seIIzLg
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20

004. Q4a

Question
Answer
📚 Related Lectures
ADVFUN, Polynomial, given Higher than Degree 3, factor Trinomial.GCF
🎓 001. ph
⏱️ 0:390🎬 nPXrkaTP0B4
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21

004. Q4b

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4.No.Constant.Term, factor.solve for x
🎓 001. Deg 4 polynomial with no constant term
⏱️ 0:300🎬 3oG7iP3JjlY
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22

004. Q4c

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 0:480🎬 ETi33uTxqTw
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23

004. Q4d

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 0:430🎬 3yMA1CnQ5x0
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24

004. Q4e

Question
Answer
📚 Related Lectures
12.1 ADVFUN, POWER FUNCTION, given Power Function Equation x^n=y, solve
🎓 001. Solve x^4 = fraction
⏱️ 1:040🎬 9682bDgeS9U
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25

004. Q4f

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Answer
⏱️ 1:061🎬 92xQmEuAg0g
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26

004. Q4g

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Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4, factor
🎓 001. Factoring deg4 poly
⏱️ 1:020🎬 nsrzObXlYRs
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27

005. Q5a

Question
Answer
📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
⏱️ 1:450🎬 PIQM2SuviRg
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28

005. Q5b

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Answer
⏱️ 0:410🎬 FKGS_E95Kdc
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29

005. Q5c

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Answer
📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
⏱️ 0:170🎬 mYtrs2KuzCw
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30

005. Q5d

Question
Answer
📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
⏱️ 0:390🎬 s0Umw7jCkRM
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31

005. Q5e

Question
Answer
📚 Related Lectures
12.1.1.1 ADVFUN, POLYNOMlAL, given Higher than Degree 2, factor by Grouping
🎓 001. Deg3 Poly factoring by grouping
⏱️ 0:160🎬 OPKfBbrVZYs
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32

006. Q6a

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:361🎬 Y2JuszY4uvw
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33

006. Q6b

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 0:540🎬 wfEDfljeusQ
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34

006. Q6c

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 0:510🎬 QZ1B8e76Fl8
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35

006. Q6d

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:340🎬 WUvccIxhy9s
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36

006. Q6e

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:470🎬 lCohFtgs5WI
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37

006. Q6f

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:090🎬 _3ih_p-J0rM
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38

006. Q6g

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:360🎬 kbPS-FKBmZI
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39

007. Q7a

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 2:430🎬 k-wuxdtB2Zc
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40

007. Q7b

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 2:070🎬 p129Ss8kA18
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41

007. Q7c

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 3:360🎬 My5AxWt4LWg
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42

007. Q7d

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 4:300🎬 GB-h6AxVcvE
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43

007. Q7e

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4.No.Constant.Term, factor.solve for x
🎓 001. Deg 4 polynomial with no constant term
⏱️ 0:461🎬 mJqbSuTucLE
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44

007. Q7f

Question
Answer
📚 Related Lectures
12.1.2 Advanced Functions, Rational Zero Theorem, given ax^4, factor.solve for x
🎓 002. Deg 4 hidden quadratic equation
12.1.2 ADVFUN, Rational Zero Theorem, given x^4.No.Constant.Term, factor.solve for x
🎓 001. Deg 4 polynomial with no constant term
⏱️ 2:010🎬 _OlEuEdXGYA
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45

007. Q7g

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4, factor.solve for x
🎓 002. Deg 4 hidden quadratic equation
⏱️ 1:370🎬 uXCU3scR3x4
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46

008. Q8a

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 1:110🎬 w32OWdbRPE4
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47

008. Q8b

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^3, factor.solve for x
🎓 001. Rational Zero Theorem, given x^3, factor solve for x
⏱️ 3:020🎬 4w92Q6oxzJ8
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48

008. Q8c

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given ax^3, factor.solve for x
🎓 001. Factoring polynomial of ax^3
⏱️ 1:080🎬 4iM8QpM1oTs
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49

008. Q8d

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4, factor.solve for x
🎓 002. Deg 4 hidden quadratic equation
⏱️ 1:400🎬 xBGvkG9xCog
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50

008. Q8e

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, Rational Zero Theorem, given x^4, factor.solve for x
🎓 002. Deg 4 hidden quadratic equation
⏱️ 1:480🎬 UlNpZ-s6XEQ
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51

010. Q10

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given geometry, solve using graphing device
🎓 002. Modelling Box with Poly and graphing device
🎓 001. Prism polynomial model
⏱️ 1:252🎬 XZ8JYSm1NOk
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52

011. Q11

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, POLYNOMIAL MODELLING, given.Equation.Model.Box.Volume, solve
🎓 001. Relating Polynomial equation with volume of box
⏱️ 3:441🎬 7wOYTQM-JXo
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53

012. Q12

Question
Answer
⏱️ 1:130🎬 6s9X3aicQSg
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54

013. Q13

Question
Answer
📚 Related Lectures
12.1.2 ADVFUN, POLYNOMIAL, Fundamental Theorem of Algebra
🎓 001. Finding all complex roots
⏱️ 1:130🎬 dbiVAh8AiiU
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55

014. Q14

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
⏱️ 2:060🎬 hEDZXTZ7jk0
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56

015. Q15

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
⏱️ 4:110🎬 aoB9MXUvEKQ
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57

016. Q16a

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
⏱️ 0:310🎬 ZUmd1HuPc-E
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58

016. Q16b

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
⏱️ 0:440🎬 eruYjRaPlp4
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59

016. Q16c

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given Equation, solve
🎓 001. Polynomial word problem, model population, when is population zero
⏱️ 1:300🎬 NNP5HoYizGg
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60

017. Q17a

Question
Answer
📚 Related Lectures
335 12.1.2 ADVFUN, RZT, IVT, FACTORING POLYNOMIALS, given.Vertex.form., solve by Isolate
🎓 001. Solving Vertex form polynomial
⏱️ 0:220🎬 BE-JoP60n68
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61

017. Q17b

Question
Answer
📚 Related Lectures
10.3.3 MATH, QUADRATIC EQUATIONS, hidden Trinomial, solve by factoring
🎓 001. Hidden Quadratic Polynomial with brackets
⏱️ 2:040🎬 ThoRnBZProo
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62

018. Q18a

Question
Answer
📚 Related Lectures
12.1.2 Advanced Functions, Factor and Remainder Theorem, given Linear Factor or Remainder, find missing Coefficient
🎓 001. Given a Factor, Find Missing Coefficient in the Polynomial
⏱️ 0:410🎬 Aw0b9yF3ifs
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63

018. Q18b

Question
Answer
📚 Related Lectures
12.1.2 Advanced Functions, Factor and Remainder Theorem, given Linear Factor or Remainder, find missing Coefficient
🎓 001. Given a Factor, Find Missing Coefficient in the Polynomial
⏱️ 1:290🎬 2mKquY2ky_0
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64

019. Q19

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given geometry, solve using graphing device
🎓 002. Modelling Box with Poly and graphing device
🎓 001. Prism polynomial model
⏱️ 6:480🎬 438uXWF4xSM
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65

020. Q20

Question
Answer
📚 Related Lectures
advfnsmath1.4.2lectureTube
🎓 001. Given two complex Roots, find the equation
⏱️ 2:160🎬 guSChAsiEGk
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66

021. Q21

Question
Answer
📚 Related Lectures
12.1 Advanced Functions, Polynomial, Word Problem, given geometry, set up equation.dimension
🎓 001. Prism polynomial model
⏱️ 4:281🎬 QF4Nr6x-ubU
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67

022. Q22

Question
Answer
📚 Related Lectures
12.1.2 AdvFun, Rational Zero Theorem, , Relating Coefficient and Roots, given Coefficients, find Roots
🎓 001. Relating Coefficient and Roots in Polynomials of Deg3
⏱️ 2:410🎬 Xqtgv0aKqAE
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68

024. Q24

Question
Answer
📚 Related Lectures
12.1.2 AdvFun, Rational Zero Theorem, , Relating Coefficient and Roots, given Coefficients, find Roots
🎓 001. Relating Coefficient and Roots in Polynomials of Deg3
⏱️ 7:380🎬 OT869-vJjhE
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advfnsmcgrawCh2.3lectureTube

10 videos

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1

000. Section Intro

🎬 pXwxOjTqChw
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2

1 Introduction to Rational Zero Theorem

Question
⏱️ 3:440🎬 N4o0LZ2ZWPU
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3

2 Introduction to Intermediate Value Theorem IVT

Question
⏱️ 5:500🎬 ZuPQOb0GMfQ
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4

3 Factoring Deg 4 Polynomial Example

Question
⏱️ 2:430🎬 1OCGTwnbTdg
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5

4 Factoring Deg 4 Polynomial with Irrational Roots

Question
⏱️ 4:480🎬 SjV4_n1y4E8
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6

5 Complete Factorization Theorem

Question
⏱️ 2:460🎬 bD3CUKPo0-k
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7

6 Finding the 7olynomial from given root information ex2

Question
⏱️ 2:290🎬 4Pbk2pTqsbE
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8

6 Finding the polynomial from given root information ex1

Question
⏱️ 4:060🎬 txw2HJPDypg
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9

8 Pattern of Coefficients and Roots for Higher Powers

Question
⏱️ 3:590🎬 NkXvLTLuBXQ
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10

9 Rational Zero Theorem Proof

Question
⏱️ 6:560🎬 sEp79kdaeRI
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