AnswersCMS 2026-2027 NC Math 3 CREDIT RECOVERYFactoring Polynomials Completely

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What is the factored form of n squared minus 25 ?

A
open paren n minus 5 close paren times open paren n plus 5 close paren
B
open paren n plus 5 close paren times open paren n plus 5 close paren
C
open paren n minus 25 close paren times open paren n plus 1 close paren
D
open paren n minus 25 close paren times open paren n minus 1 close paren
2
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What is the completely factored form of x cubed minus 64 x ?

A
open paren x minus 4 close paren times open paren x squared plus 4 x plus 16 close paren
B
open paren x minus 4 close paren times open paren x plus 4 close paren times open paren x plus 4 close paren
C
x open paren x minus 8 close paren open paren x minus 8 close paren
D
x open paren x minus 8 close paren open paren x plus 8 close paren
3

What is the factored form of 2 x cubed plus 4 x squared minus x ?

A
x times open paren 2 x squared plus 4 x minus 1 close paren
B
x times open paren 2 x squared plus 4 x plus 1 close paren
C
2 x open paren x squared plus 2 x minus 1 close paren
D
2 x open paren x squared plus 2 x plus 1 close paren
4

If a polynomial has three terms, x squared plus 12 x plus 36 , which factoring method can be considered?

A
difference of squares
B
sum of cubes
C
difference of cubes
D
perfect-square trinomial
5

What is the factored form of A squared minus 121 ?

A
open paren A minus 121 close paren times open paren A plus 1 close paren
B
open paren A minus 121 close paren times open paren A minus 1 close paren
C
open paren A minus 11 close paren times open paren A plus 11 close paren
D
open paren A plus 11 close paren times open paren A plus 11 close paren
7

What is the completely factored form of x y cubed minus x cubed y ?

A
x y open paren y minus x close paren open paren y minus x close paren
B
x y open paren x minus y close paren open paren x squared plus x y plus y squared close paren
C
x y open paren x minus y close paren open paren y squared plus x y plus x squared close paren
D
x y open paren y plus x close paren open paren y minus x close paren
8

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
x open paren x cubed plus 2 close paren open paren 3 x minus 7 close paren
B
open paren x to the 4th power plus 2 x close paren times open paren 3 x minus 7 close paren
C
x times open paren 3 x to the 4th power minus 7 x cubed plus 6 x minus 14 close paren
D
x to the 4th power open paren 3 x minus 7 close paren open paren 2 x minus 1 close paren
9

What is the factored form of 6 n to the 4th power minus 24 n cubed plus 18 n ?

A
6 n open paren n to the 4th power minus 4 n cubed plus 3 n close paren
B
6 n open paren n cubed plus 4 n squared plus 3 close paren
C
6 n open paren n cubed minus 4 n squared plus 3 close paren
D
6 n open paren n to the 4th power plus 4 n cubed plus 3 n close paren
10

What is the completely factored form of x to the 4th power plus 8 x squared minus 9 ?

A
open paren x plus 1 close paren times open paren x plus 1 close paren times open paren x plus 3 close paren times open paren x plus 3 close paren
B
open paren x squared minus 1 close paren times open paren x plus 3 close paren times open paren x minus 3 close paren
C
open paren x plus 1 close paren times open paren x minus 1 close paren times open paren x plus 3 close paren times open paren x plus 3 close paren
D
open paren x plus 1 close paren times open paren x minus 1 close paren times open paren x squared plus 9 close paren

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