Polynomials — Test Answers

25 verified answers
21
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Which expression represents the composition open bracket g circ f circ h close bracket times x for the functions? f of x is equal to 5 x minus 4 g of x is equal to 5 x cubed h of x is equal to 3 x

A
open paren 75 x minus 20 close paren cubed
B
5 times open paren 5 x minus 4 close paren cubed
C
5 times open paren 15 x minus 4 close paren cubed
D
675 x cubed minus 4
22
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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 plus 2 close paren times open paren p squared plus 2 p plus 4 close paren
B
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
C
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
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
23

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

A
x y open paren x plus 16 plus 64 y close paren
B
open paren x plus 8 y close paren times open paren x plus 8 y close paren
C
open paren x minus 8 y close paren times open paren x minus 8 y close paren
D
x y open paren x minus 16 plus 64 y close paren
24

Which expression is a sum of cubes?

A
negative 32 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed
B
32 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
C
64 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
D
negative 64 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed
25

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, but it is not 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.
D
The expression is equivalent, and it is completely factored.

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Polynomials — Test Answers — Algebra 2 with…