AnswersAlgebra IIPolynomial Operations

Polynomial Operations — Test Answers

22 verified answers
3

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
x y open paren x minus 16 plus 64 y close paren
C
x y open paren x plus 16 plus 64 y close paren
4

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 plus 14 x cubed plus 28 x squared plus 35 x plus 10
B
3 x to the 4th power minus 4 x cubed plus 22 x squared plus 35 x plus 10
C
3 x to the 4th power minus 4 x cubed minus 8 x squared minus 35 x minus 10
5

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

What is the sum of the polynomials? open paren m plus n plus 3 close paren plus open paren m plus n plus 4 close paren

A
2 m squared plus 2 n squared plus 7
B
m squared plus n squared plus 7
C
2 m plus 2 n plus 7
7

The volume of a rectangular prism is open paren x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4 close paren , and the area of its base is open paren x cubed plus 3 x squared plus 8 close paren If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x plus 1 plus the fraction with numerator 4 and denominator x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4
B
x plus 1 minus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
C
x plus 1 plus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
8

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 5 5 y to the 5th power 3 to the 5th power
B
5 sub 10 cap c sub 5 y to the 5th power 3 to the 5th power
C
10 cap c sub 6 5 y to the 4th power 3 to the 6th power
9

What is the completely factored form of 3 x to the 5th power minus 7 x to the 4th power plus 6 x squared minus 14 x ?

A
open paren x to the 4th power plus 2 x close paren times open paren 3 x minus 7 close paren
B
x to the 4th power open paren 3 x minus 7 close paren open paren 2 x minus 1 close paren
C
x open paren x cubed plus 2 close paren open paren 3 x minus 7 close paren
10

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
25 z to the 4th power plus 30 z cubed plus 29 z squared plus 12 z plus 4
C
5 z to the 4th power plus 9 z squared plus 4
12

A student factors 10 x squared plus 3 x minus 27 to the following. open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren Which statement about open paren 2 x minus 3 close paren times open paren 5 x plus 9 close paren is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is not equivalent, but it is completely factored.
C
The expression is not equivalent, and it is not completely factored.
14

Which statement about negative 2 h squared minus 15 h minus 7 is true?

A
One of the factors is open paren h plus 2 close paren .
B
One of the factors is open paren 2 h plus 1 close paren .
C
One of the factors is open paren 3 h minus 2 close paren .
16

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 plus 2 close paren times open paren p squared plus 2 p plus 4 close paren
C
open paren p minus 2 close paren times open paren p plus 2 close paren times open paren p squared plus 4 close paren
18

Which statement about the simplified binomial expansion of open paren A minus b close paren to the n th power , where n is a positive integer, is true?

A
The first term in the expansion is positive.
B
The first term in the expansion is negative.
C
All terms in the expansion are negative.
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

Did you find these answers helpful?