Polynomial Lesson

​P4: Polynomials

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Multiple Choice

1. What is the degree of the polynomial P(x) = $$x^4\ +\ 3x^2-5x\ \ +\ 8$$   #1

• 4

• 3

• 2

• 1

Multiple Choice

What is the term classification of the following polynomial? x³-7x²+3 #2

• monomial
• binomial
• trinomial
• polynomial

Multiple Choice

x³(2x²+3x)= #8

• 2x⁵+3x⁴
• 2x⁶+3x³
• 5x⁹
• 5x

Multiple Choice

(x - 3)(x +10) #9

• x² - 7x + 13
• x² - 6x - 30
• x² + 7x - 30
• x² + 13x + 30

Multiple Choice

(x + 12)(x - 12) #11

• x² - 144
• x² + 144
• x² + 12x - 144
• x² - 12x + 144

Multiple Choice

Multiply the following together:

(2x + 3)(x² + 4x + 1) #12

• 2x³ + 8x² +2x

• 3x² + 12x +3

• 2x³ +11x² +14x +3

• 2x³ + 12x +3

Multiple Choice

(5x+2)(x²-3x+6) #29

• 5x³ - 17x² +24x +12
• 5x³ + 17x² - 24x +12
• 5x³ - 13x² + 24x +12
• 5x³ +13x² - 24x - 12

Multiple Choice

The dimensions of a rectangular prism are represented by the polynomials $$2x+1$$ , $$x+3$$ , and $$4x-2$$ . Which polynomial represents the volume of the prism? #28

• $$8x^3+24x^2-2x-6$$  

• $$8x^3+30x^2+2x-6$$  

• $$8x^3-26x^2-2x-6$$  

• $$8x^3-26x^2+2x-6$$  

Multiple Choice

Mrs. Smith is using 8 in. by 12 in. sheets of construction paper to make jelly bean baskets for her second-grade students. She cuts congruent squares from each corner of the paper and folds up the sides to create the open basket. Express the volume of the basket, in terms of x. #37

• 4x² - 40x + 96

• 4x² + 40x + 96

• 4x³ + 40x² + 96x

• 4x³ - 40x² + 96x

Multiple Choice

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism? #36

• 2x²+13x+18

• 6x³+27x²+54x

• 6x³+39x²+54x

• 18x⁴+117x³+162x²

Multiple Choice

What is the area of the triangle? #39

• $$A\ =\ 80c^2\ +\ 42c\ +\ 4$$  

• $$A\ =24c^2+19c\ +\ 2$$  

• $$A\ =\ 60c^2\ +\ 64c\ +\ 16$$  

• $$A\ =24c\ +\ 9$$  

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Multiple Choice

Add the following polynomials: (x³-2x²+3)+(2x³+3x²-1) #20

• 3x³-2x²+3x+2
• 3x³+x²+2
• 3x³-5x²-2
• 3x³-x²+1

Multiple Choice

Subtract the following polynomials: (2x³+6x²+4x-2)-(x³+4x²-x) #18

• x³+2x²+5x-2
• x³+10x²+3x-2
• 3x³+2x+4x-3
• 3x³+10x²-3x-2

Multiple Choice

Subtract the following polynomials: (3x²-3x+2) - (x²-2x+1) #19

• 2x²+x+1
• 2x²-5x+3
• 2x²-x+1
• 4x²-5x+3

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Multiple Choice

You want to create a garden in your backyard. Given are the dimensions of the garden and a border. Determine the area of the gray border surrounding the garden bed. #25

• 8x + 24

• 6x + 32

• 2x² - 8x + 4

• x² + 16x + 16

Multiple Choice

Find the area of the yellow rectangle not including the area of the white rectangle. #40

• $$A\ =\ 3x^2+47x\ +\ 30$$  

• $$2x^{2\ }+\ 2x$$  

• $$A\ =\ x\ +\ 16$$  

• $$A\ =\ x^2\ +\ 45x\ +\ 30$$