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Polynomial Operations — Test Answers

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1
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A square with an area of cap A squared is enlarged to a square with an area of 25 cap A raised to the 2 power How was the side of the smaller square changed?

A
The side length was increased by 10 .
B
The side length was multiplied by 5 .
C
The side length was multiplied by 10 .
D
The side length was increased by 5 .
2
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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
84 x to the 24th power
C
negative 84 x to the 24th power
D
negative 84 x to the 12th power
3

Which expression is equivalent to cube root of 125 x to the 6th power y to the 15th power z cubed ?

A
5 x cubed y cubed z
B
25 x squared y cubed z
C
25 x squared y to the 5th power z
D
5 x squared y to the 5th power z
4

Which monomial is a perfect cube?

A
32 x to the 12th power
B
64 x to the 6th power
C
16 x to the 6th power
D
27 x to the 8th power
5

What is the completely factored form of x squared minus 16 x y plus 64 y squared ?

A
open paren x minus 8 y close paren times open paren x minus 8 y close paren
B
open paren x plus 8 y close paren times open paren x plus 8 y close paren
C
x y open paren x minus 16 plus 64 y close paren
D
x y open paren x plus 16 plus 64 y close paren
6

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

A
negative 2 y squared minus 5 y plus 8
B
2 y squared minus 5 y plus 8
C
negative 6 y squared plus 27 y plus 8
D
8 minus 7 y
9

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 25 y squared minus 22 x
B
7 x squared minus 3 y squared minus 4 x
C
17 x squared minus 25 y squared minus 22 x
D
7 x squared plus 3 y squared minus 4 x
10

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 18 z plus 10
B
negative 4 z cubed plus 4 z squared minus 10 z minus 21
C
negative 18 z minus 5
D
negative 4 z cubed plus 4 z squared plus 6 z plus 35
11

Which monomials are perfect squares? Choose three correct answers.

A
17 x to the 9th power
B
9 x to the 8th power
C
25 x to the 12th power
D
6 x squared
E
36 x to the 16th power
12

Which expression represents the sixth term in the binomial expansion of open paren 5 y plus 3 close paren to the 10th power ?

A
10 cap c sub 6 5 y to the 4th power 3 to the 6th power
B
5 sub 10 cap c sub 5 y to the 5th power 3 to the 5th power
C
5 sub 10 cap c sub 6 y to the 4th power 3 to the 6th power
D
10 cap c sub 5 5 y to the 5th power 3 to the 5th power
13

What is the completely factored form of p to the 4th power minus 16 ?

A
open paren p minus 2 close paren times open paren p minus 2 close paren times open paren p minus 2 close paren times open paren p minus 2 close paren
B
open paren p minus 2 close paren times open paren p minus 2 close paren times open paren p plus 2 close paren times open paren p plus 2 close paren
C
open paren p minus 2 close paren times open paren p plus 2 close paren times open paren p squared plus 2 p plus 4 close paren
D
open paren p minus 2 close paren times open paren p plus 2 close paren times open paren p squared plus 4 close paren
14

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

A
25 z to the 4th power plus 30 z cubed plus 19 z squared plus 12 z plus 4
B
5 z to the 4th power plus 9 z squared plus 4
C
25 z to the 4th power plus 30 z cubed plus 29 z squared plus 12 z plus 4
D
5 z to the 4th power plus 3 z squared plus 4
15

What is the cube root of 8 x to the 27th power ?

A
4 x to the 9th power
B
2 x cubed
C
4 x cubed
D
2 x to the 9th power
17

The side length, ​s , of a cube is x minus 2 y If cap v is equal to s cubed , what is the volume of the cube?

A
x cubed plus 6 x squared y plus 12 x y squared plus 8 y cubed
B
3 x cubed minus 6 x squared y plus 12 x y squared minus 24 y cubed
C
3 x cubed plus 6 x squared y plus 12 x y squared plus 24 y cubed
D
x cubed minus 6 x squared y plus 12 x y squared minus 8 y cubed
18

Which expression is equivalent to open paren 3 x squared minus 7 close paren ?

A
open paren 10 x squared minus 4 close paren minus open paren 7 x squared plus 3 close paren
B
open paren 15 x squared plus 8 close paren minus open paren 18 x squared plus 1 close paren
C
open paren 2 x squared minus 11 close paren minus open paren x squared plus 4 close paren
D
open paren 5 x squared minus 6 close paren minus open paren 2 x squared minus 1 close paren
19

The missing term in the following polynomial has a degree of 5 and a coefficient of 16 square plus 13 x to the 6th power minus 11 x cubed minus 9 x squared plus 5 x minus 2 Which statement best describes the polynomial?

A
It is not in standard form because the degree of the first term is not greater than six.
B
It is in standard form because the exponents are in order from highest to lowest.
C
It is in standard form because the coefficients are in order from highest to lowest.
D
It is not in standard form because the degree of the first term should be equal to zero.
20

What is the fifth term in the binomial expansion of open paren x plus 5 close paren to the 8th power ?

A
43 comma 750 x to the 4th power
B
175 comma 000 x cubed
C
3 comma 125 x to the 5th power
D
7 comma 000 x to the 5th power

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Polynomial Operations — Test Answers — Algebra II