2.1 Operations with Polynomials

šŸ“– Chapter 2 Algebraic Skills
šŸ“„ Page 40
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11

11mathHarcourt2.1

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1

001. Q1a

Question
šŸ“š Related Lectures
9 Math, Algebra, Expressions, collect Like Terms with Degree 2 or higher
šŸŽ“ 003. Sum of Polynomial ex3
šŸŽ“ 002. Collecting Like terms ex2
šŸŽ“ 001. Collecting Like Terms, squares ex1
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2

002. Q1b

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA OF INTEGER EXPONENTS, given.One.Var.Positive.power.only, simplify.add
šŸŽ“ 001. One Var Exponent Expression, Product
šŸŽ“ 003. Product of Negative base, solve
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3

003. Q1c

Question
šŸ“š Related Lectures
9 MATH, POLYNOMIAL, given.ax^2+bx^2, collect
šŸŽ“ 001. Collecting Square Terms
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4

004. Q1d

Question
5

005. Q1e

Question
Answer
šŸ“š Related Lectures
11.2.2 ALGEBRA OF INTEGER EXPONENTS, given Quotient with One Variable Positive Power, simplify
šŸŽ“ 003. Quotient of Exponent with Division symbol
šŸŽ“ 002. Quotient of Exponents where Denominator Power is bigger
šŸŽ“ 001. Quotient of Exponents with Positive Powers ex1
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6

006. Q1f

Question
Answer
šŸ“š Related Lectures
9 Math, ALG EXPRESSION, collect.like.terms, simplify.to.ax+b form
šŸŽ“ 001. Basic Terminology
šŸŽ“ 002. Collect like terms of linear expression
7

007. Q1g

Question
Answer
šŸ“š Related Lectures
9 MATH, POLYNOMIAL, given.sum.deg2, collect.Like.terms
šŸŽ“ 001. Collect Like terms up to deg2
8

008. Q1h

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Answer
9

009. Q1i

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Answer
šŸ“š Related Lectures
9.1.5 MATH, SUM of POLYNOMIALS, given Terms without Brackets, collect like terms
šŸŽ“ 002. collecting like terms
šŸŽ“ 001. Collecting like terms deg2
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10

010. Q2a

Question
Answer
šŸ“š Related Lectures
10.3.1 MATH, Distribution Property, given product of monomial and polynomial with exponents, expand and simplify
šŸŽ“ 002. Product of Monomial with Trinomial with two variables
šŸŽ“ 001. Product of Monomial with Binomial
11

011. Q2b

Question
Answer
šŸ“š Related Lectures
9.1.5 MATH, SUM of POLYNOMIALS, given.Difference Polynomials Deg3 or Higher in brackets, simplify
šŸŽ“ 001. Difference of Polynomials
12

012. Q2c

Question
Answer
šŸ“š Related Lectures
11.2.1 FUNCTIONS, RATIONAL EXPRESSIONS, Single Term, given.two.term.quadratic on Num or Denom, reduce
šŸŽ“ 001. Simplify and state restrictions
13

013. Q2d

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA OF INTEGER EXPONENTS, given.One.Var, simplify.mult.add
šŸŽ“ 001. Simplify with Power Rule then Product
14

014. Q2e

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA OF INTEGER EXPONENTS, given.One.Var, simplify.mult.add
šŸŽ“ 001. Simplify with Power Rule then Product
15

015. Q2f

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA OF INTEGER EXPONENTS, given.One.Var, simplify.mult.subtract
šŸŽ“ 001. Power then Subtract
16

016. Q2g

Question
Answer
17

017. Q2h

Question
Answer
šŸ“š Related Lectures
10.3.1 MATH, Distribution Property, given product of monomial and polynomial with exponents, expand and simplify
šŸŽ“ 002. Product of Monomial with Trinomial with two variables
šŸŽ“ 001. Product of Monomial with Binomial
18

018. Q2i

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given.higher.than.deg2,a(b+c+d), expand
šŸŽ“ 001. Product of Mono and Trinomial
19

019. Q2j

Question
Answer
šŸ“š Related Lectures
9.1.5 MATH, SUM of POLYNOMIALS, given.Difference.Polynomials Deg2 in brackets, simplify
šŸŽ“ 002. Vertical Subtraction of Polynomials
šŸŽ“ 001. Subtracting Polynomials
20

020. Q2k

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA EXPRESSION, simplify Fractional in (ax+b)/c
šŸŽ“ 001. Simplifying ax+b over c
21

021. Q2l

Question
Answer
šŸ“š Related Lectures
11.2.1 FUNCTIONS, RATIONAL EXPRESSIONS, Single Term, given.two.term.quadratic on Num or Denom, reduce
šŸŽ“ 001. Simplify and state restrictions
22

022. Q3a

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given.binomial.product.(a+b)(c+d).leading.coeff.of.1, expand
šŸŽ“ 001. Introduction to FOIL
23

023. Q3b

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Product of Binomials (a+b)(c+d), expand
šŸŽ“ 001. Introduction to FOIL
24

024. Q3c

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Product of Binomials (a+b)(c+d), expand
šŸŽ“ 001. Introduction to FOIL
25

025. Q3d

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Answer
26

026. Q3e

Question
Answer
27

027. Q3f

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given.(x-a)^2, expand
šŸŽ“ 001. Expanding x a squared
28

028. Q3g

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, Expand Conjugate Pairs (a+b)(a-b)
šŸŽ“ 002. Expand Conjugate pair ex2
šŸŽ“ 001. Conjugate Pair Distribution ex1
29

029. Q3h

Question
Answer
30

030. Q3i

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, expand Square of Binomials (a+b)^2
šŸŽ“ 001. Introduction to Squaring a Binomial
31

031. Q4a

Question
Answer
šŸ“š Related Lectures
9 MATH, POLYNOMIAL, given.ax^2+bx^2, collect
šŸŽ“ 001. Collecting Square Terms
32

032. Q4b

Question
Answer
šŸ“š Related Lectures
9 MATH, POLYNOMIAL, given.sum.deg2, collect.Like.terms
šŸŽ“ 001. Collect Like terms up to deg2
33

033. Q4c

Question
Answer
šŸ“š Related Lectures
11.2.1 ALGEBRA OF INTEGER EXPONENTS, given.One.Var, simplify.substract.mult
šŸŽ“ 001. ph
34

034. Q5a

Question
Answer
šŸ“š Related Lectures
9.1.5 MATH, SUM of POLYNOMIALS, given.Difference.Polynomials Deg2 in brackets, simplify
šŸŽ“ 002. Vertical Subtraction of Polynomials
šŸŽ“ 001. Subtracting Polynomials
35

035. Q5b

Question
Answer
šŸ“š Related Lectures
9.1.5 MATH, SUM of POLYNOMIALS, given Sum or Difference Polynomials Deg 2 in brackets, simplify
šŸŽ“ 001. Sum of two Trinomials in brackets
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36

036. Q5c

Question
Answer
šŸ“š Related Lectures
10.3.1, DISTRIBUTION PROPERTY, given Multiple terms, One Step Expanding then Collect Like Terms to simplify
šŸŽ“ 001. Given Multiple terms, One Step Expanding then Collect Like Terms
37

037. Q5d

Question
Answer
šŸ“š Related Lectures
10.3.1, DISTRIBUTION PROPERTY, given Multiple terms, One Step Expanding then Collect Like Terms to simplify
šŸŽ“ 001. Given Multiple terms, One Step Expanding then Collect Like Terms
38

038. Q5e

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Product of Binomials (a+b)(c+d), expand
šŸŽ“ 001. Introduction to FOIL
39

039. Q5f

Question
Answer
šŸ“š Related Lectures
10.3.1 Math, Distribution Property, given binomials with exponents, expand
šŸŽ“ 001. Product of Binomial with Exponents
40

040. Q5g

Question
Answer
šŸ“š Related Lectures
10.3.1 MATH, Distribution Property, FOIL to expand (a+b)(c+d+e)
šŸŽ“ 002. Product of Two Trinomials
šŸŽ“ 001. Distribution of (a+b)(c+d+e)
41

041. Q5h

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, Expand Conjugate Pairs (a+b)(a-b)
šŸŽ“ 002. Expand Conjugate pair ex2
šŸŽ“ 001. Conjugate Pair Distribution ex1
42

042. Q5i

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, expand Square of Binomials (a+b)^2
šŸŽ“ 001. Introduction to Squaring a Binomial
43

043. Q5j

Question
Answer
44

044. Q6a

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Multi Term Product of Binomials, expand and Simplify
šŸŽ“ 003. Binomial Square and collect the like terms
šŸŽ“ 002. FOIL and collect
šŸŽ“ 001. Distribution and Collect ex1
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45

045. Q6b

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Multi Term Product of Binomials, expand and Simplify
šŸŽ“ 003. Binomial Square and collect the like terms
šŸŽ“ 002. FOIL and collect
šŸŽ“ 001. Distribution and Collect ex1
šŸŽ¬ ksEIybkyikw
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46

046. Q6c

Question
Answer
šŸ“š Related Lectures
10.3.1, DISTRIBUTION PROPERTY, given Multiple terms, One Step Expanding then Collect Like Terms to simplify
šŸŽ“ 001. Given Multiple terms, One Step Expanding then Collect Like Terms
47

047. Q6d

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Multi Term Product of Binomials, expand and Simplify
šŸŽ“ 003. Binomial Square and collect the like terms
šŸŽ“ 002. FOIL and collect
šŸŽ“ 001. Distribution and Collect ex1
48

048. Q6e

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Product of Three or More Binomials, expand
šŸŽ“ 001. Product of Binomials
49

049. Q6f

Question
Answer
šŸ“š Related Lectures
10.3.2, DISTRIBUTION PROPERTY, given.binomial.cubed, expand
šŸŽ“ 001. Introduction to Binomial cubed
50

050. Q6g

Question
Answer
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51

051. Q6h

Question
Answer
šŸ“š Related Lectures
10 Math, Distribution Property, given Multi Term Product of Binomials, expand and Simplify
šŸŽ“ 003. Binomial Square and collect the like terms
šŸŽ“ 002. FOIL and collect
šŸŽ“ 001. Distribution and Collect ex1
šŸŽ¬ qbtxrlf0T40
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52

052. Q7a

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Answer
53

053. Q7b

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Answer
54

054. Q7c

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55

055. Q8a

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given input, find output
šŸŽ“ 002. Another example HQ
šŸŽ“ 001. Input into Quad Function
56

056. Q8b

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given input, find output
šŸŽ“ 002. Another example HQ
šŸŽ“ 001. Input into Quad Function
57

057. Q8c

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given input, find output
šŸŽ“ 002. Another example HQ
šŸŽ“ 001. Input into Quad Function
58

058. Q8d

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.input.f(g(x)), find.output
šŸŽ“ 002. Input Variable for Quad Function
šŸŽ“ 001. Given Quadratic, find f(2x)
59

059. Q8e

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.input.f(g(x)), find.output
šŸŽ“ 002. Input Variable for Quad Function
šŸŽ“ 001. Given Quadratic, find f(2x)
60

060. Q8f

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.input.f(g(x)), find.output
šŸŽ“ 002. Input Variable for Quad Function
šŸŽ“ 001. Given Quadratic, find f(2x)
61

061. Q9a

Question
Answer
šŸ“š Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.linear, combine
šŸŽ“ 001. Quotient of Linear Functions
62

062. Q9b

Question
Answer
63

063. Q9c

Question
Answer
šŸ“š Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.linear, combine
šŸŽ“ 001. Quotient of Linear Functions
šŸŽ¬ dc_7ynBtfwE
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64

064. Q9d

Question
šŸ“š Related Lectures
12.6 ADVFUN, Combined Functions, given.linear.linear, combine
šŸŽ“ 001. Quotient of Linear Functions
šŸŽ¬ A73BeMAkMls
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65

065. Q10a

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
66

066. Q10b

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
67

067. Q10c

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
68

068. Q10d

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
69

069. Q10e

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
70

070. Q10f

Question
Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
71

071. Q10g

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Answer
72

072. Q10h

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Answer
73

073. Q10i

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Answer
šŸ“š Related Lectures
11.1.5 FUNCTIONS, QUADRATIC FUNCTIONS, given.Transformation, find
šŸŽ“ 001. ph
74

074. Q11a

Question
Answer
75

075. Q11b

Question
Answer
šŸ“š Related Lectures
10.3.2, DISTRIBUTION PROPERTY, given.binomial.cubed, expand
šŸŽ“ 001. Introduction to Binomial cubed
76

076. Q11c

Question
Answer
šŸ“š Related Lectures
10.3.1, EXPANDING using BINOMIAL THEOREM, given.(a+b)^4, expand
šŸŽ“ 001. Expanding 4th power of binomial
77

077. Q11d

Question
Answer
šŸ“š Related Lectures
10.3.2, DISTRIBUTION PROPERTY, expand Using Binomial Theorem for (a+b)^n
šŸŽ“ 001. Expanding binomial of power of 6
78

078. Q12a

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Answer
79

079. Q12b

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Answer
80

080. Q13a

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Answer
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81

081. Q13b

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Answer
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82

082. Q14a

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Answer
83

083. Q14b

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Answer
84

084. Q15

Question
Answer
šŸ“š Related Lectures
11.1.1 FUNCTIONS, Linear Functions, Transformations
šŸŽ“ 002. Vertical Stretch of Linear Function