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Polynomial Operations — Test Answers

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What is the product? open paren 7 x squared close paren times open paren 2 x cubed plus 5 close paren times open paren x squared minus 4 x minus 9 close paren

A
14 x to the 7th power minus 56 x to the 6th power minus 126 x to the 5th power plus 35 x to the 4th power minus 140 x cubed minus 315 x squared
B
14 x to the 5th power minus x to the 4th power minus 46 x cubed minus 58 x squared minus 20 x minus 45
C
14 x to the 6th power minus 56 x to the 5th power minus 91 x to the 4th power minus 140 x cubed minus 315 x squared
D
14 x to the 12th power minus 182 x to the 6th power plus 35 x to the 4th power minus 455 x squared
23

Which expression is equivalent to open paren 4 x to the 5th power plus 11 close paren squared ?

A
16 x to the 10th power plus 88 x to the 5th power plus 121
B
16 x to the 5th power plus 121
C
16 x to the 25th power plus 88 x to the 5th power plus 121
D
16 x to the 10th power plus 121
25

The volume of a cylinder is given by the formula cap v is equal to pi r squared h , where r is the radius of the cylinder and h is the height. Which expression represents the volume of this cylinder?

A
2 pi x cubed plus 7 pi x squared minus 18 pi x minus 63 pi
B
2 pi x cubed minus 5 pi x squared minus 24 pi x plus 63 pi
C
2 pi x cubed plus 7 pi x squared plus 18 pi x plus 63 pi
D
2 pi x cubed minus 12 pi x squared minus 24 pi x plus 63 pi
26

Randy divides open paren 2 x to the 4th power minus 3 x cubed minus 3 x squared plus 7 x minus 3 close paren by open paren x squared minus 2 x plus 1 close paren as shown. What error does Randy make? Randy's Work Expand Image

A
He makes an error writing the constant term in the quotient.
B
He makes an error rewriting the problem in long division.
C
He makes an error choosing the x -term in the quotient.
D
He makes a subtraction error.
27

Which expression is equivalent to 7 minus 2 z minus 4 times open bracket z cubed minus the fraction with numerator z cubed plus 4 z squared plus 11 z plus 14 and denominator z plus 2 close bracket ?

A
negative 4 z cubed plus 4 z squared plus 6 z plus 35
B
negative 18 z plus 10
C
negative 4 z cubed plus 4 z squared minus 10 z minus 21
D
negative 18 z minus 5
28

The volume of a cylinder is given by the formula cap v is equal to pi r squared h , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius open paren x plus 8 close paren and height open paren 2 x plus 3 close paren Which expression represents the volume of the can?

A
2 pi x cubed plus 35 pi x squared plus 80 pi x plus 48 pi
B
pi x cubed plus 19 pi x squared plus 112 pi x plus 192 pi
C
2 pi x cubed plus 35 pi x squared plus 176 pi x plus 192 pi
D
4 pi x cubed plus 44 pi x squared plus 105 pi x plus 72 pi
30

What is the difference of the polynomials? open paren 12 x squared minus 11 y squared minus 13 x close paren minus open paren 5 x squared minus 14 y squared minus 9 x close paren

A
7 x squared minus 3 y squared minus 4 x
B
7 x squared plus 3 y squared minus 4 x
C
17 x squared minus 25 y squared minus 22 x
D
7 x squared minus 25 y squared minus 22 x
31

The area of a rectangle, cap A is equal to l times w is represented by the expression 24 x to the 6th power y to the 15th power Which could be the dimensions of the rectangle?

A
6 x squared y cubed and 4 x cubed y to the 5th power
B
2 x to the 5th power y to the 8th power and 12 x y to the 7th power
C
9 x to the 4th power y to the 11th power and 12 x squared y to the 4th power
D
10 x to the 6th power y to the 15th power and 14 x to the 6th power y to the 15th power
32

Vanessa uses the expressions open paren 3 x squared plus 5 x plus 10 close paren and open paren x squared minus 3 x minus 1 close paren to represent the length and width of her patio. Which expression represents the area l w of Vanessa’s patio?

A
3 x to the 4th power minus 4 x cubed minus 8 x squared minus 35 x minus 10
B
3 x to the 4th power plus 14 x cubed plus 22 x squared plus 25 x minus 10
C
3 x to the 4th power plus 14 x cubed plus 28 x squared plus 35 x plus 10
D
3 x to the 4th power minus 4 x cubed plus 22 x squared plus 35 x plus 10
33

Which expression is equivalent to the fraction with numerator open paren 5 4th power of g plus 5 g cubed minus 17 g squared plus 6 g close paren minus open paren 3 4th power of g plus 6 g cubed minus 7 g squared minus 12 close paren and denominator g plus 2 ?

A
2 g cubed minus 5 g squared plus 6
B
2 4th power of g plus 11 g cubed minus 24 g squared plus 6 g minus 12
C
2 4th power of g minus g cubed minus 10 g squared plus 6 g plus 12
D
2 g cubed minus 5 g squared plus 18
34

What is the product? 4 x times open paren negative 3 x to the 8th power close paren times open paren negative 7 x cubed close paren

A
84 x to the 12th power
B
negative 84 x to the 24th power
C
negative 84 x to the 12th power
D
84 x to the 24th power
35

If f of x is equal to x plus 7 and g of x is equal to the fraction with numerator 1 and denominator x minus 13 , what is the domain of open paren f circ g close paren times x ?

A
start set x such that x is not equal to 6 end set
B
start set x such that x is not equal to 13 end set
C
start set x such that x is not equal to negative 13 end set
D
start set x such that x is not equal to negative 6 end set
36

Which expression is equivalent to 3 plus 4 y minus y times open paren 9 minus 2 y close paren plus 5 ?

A
8 minus 7 y
B
negative 2 y squared minus 5 y plus 8
C
negative 6 y squared plus 27 y plus 8
D
2 y squared minus 5 y plus 8
37

What expression is equivalent to open paren 5 z squared plus 3 z plus 2 close paren squared ?

A
5 z to the 4th power plus 9 z squared plus 4
B
5 z to the 4th power plus 3 z squared plus 4
C
25 z to the 4th power plus 30 z cubed plus 19 z squared plus 12 z plus 4
D
25 z to the 4th power plus 30 z cubed plus 29 z squared plus 12 z plus 4
38

Which expression is equivalent to open paren 4 y squared close paren cubed times open paren 3 y squared close paren ?

A
192 y to the 12th power
B
192 y to the 8th power
C
12 y to the 8th power
D
12 y to the 12th power

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