AnswersAdvanced Algebra Concepts and ConnectionsFactoring Polynomials Completely

Factoring Polynomials Completely — Quiz Answers

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1
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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 plus 11 close paren times open paren A plus 11 close paren
C
open paren A minus 121 close paren times open paren A minus 1 close paren
D
open paren A minus 11 close paren times open paren A plus 11 close paren
3

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

A
sum of cubes
B
difference of cubes
C
perfect-square trinomial
D
difference of squares
4

What is the completely factored form of x cubed minus 64 x ?

A
x open paren x minus 8 close paren open paren x plus 8 close paren
B
open paren x minus 4 close paren times open paren x squared plus 4 x plus 16 close paren
C
x open paren x minus 8 close paren open paren x minus 8 close paren
D
open paren x minus 4 close paren times open paren x plus 4 close paren times open paren x plus 4 close paren
5

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

A
2 x open paren x squared plus 2 x plus 1 close paren
B
x times open paren 2 x squared plus 4 x plus 1 close paren
C
x times open paren 2 x squared plus 4 x minus 1 close paren
D
2 x open paren x squared plus 2 x minus 1 close paren
6

What is the factored form of n squared minus 25 ?

A
open paren n plus 5 close paren times open paren n plus 5 close paren
B
open paren n minus 25 close paren times open paren n minus 1 close paren
C
open paren n minus 25 close paren times open paren n plus 1 close paren
D
open paren n minus 5 close paren times open paren n plus 5 close paren
7

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

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

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

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

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