AnswersMathematics III AFactoring Polynomials Completely

Factoring Polynomials Completely Answers

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What is the factored form of a2 – 121?

A
(a – 121)(a – 1)
B
(a – 11)(a + 11)
C
(a + 11)(a + 11)
D
(a – 121)(a + 1)
2
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What is the completely factored form of xy3 – x3y?

A
xy(y + x)(y – x)
B
xy(y – x)(y – x)
C
x y (x minus y) (x squared + x y + y squared)
Option C
D
x y (x minus y) (y squared + x y + x squared)
Option D
3

What is the factored form of 6n4 – 24n3 + 18n?

A
6 n (n Superscript 4 Baseline + 4 n cubed + 3n)
Option A
B
6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n)
Option B
C
6 n (n cubed minus 4 n squared + 3)
Option C
D
6 n (n cubed + 4 n squared + 3)
Option D
4

If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?

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

What is the factored form of 2x3 + 4x2 – x?

A
2 x (x squared + 2 x + 1)
Option A
B
x (2 x squared + 4 x + 1)
Option B
C
2 x (x squared + 2 x minus 1)
Option C
D
x (2 x squared + 4 x minus 1)
Option D
6

What is the completely factored form of x3 – 64x?

A
x(x – 8)(x – 8)
B
(x minus 4) (x squared + 4 x + 16)
Option B
C
x(x – 8)(x + 8)
D
(x – 4)(x + 4)(x + 4)
8

What is the completely factored form of x4 + 8x2 – 9?

A
(x + 1)(x – 1)(x + 3)(x + 3)
B
(x + 1) (x minus 1) (x squared + 9)
Option B
C
(x2 – 1)(x + 3)(x – 3)
D
(x + 1)(x + 1)(x + 3)(x + 3)
9

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered?

A
perfect-square trinomial
B
difference of squares
C
factor by grouping
D
sum of cubes
10

Which polynomial is factored completely?

A
g Superscript 5 Baseline minus g
Option A
B
4 g cubed + 18 g squared + 20 g
Option B
C
24 g squared minus 6 g Superscript 4
Option C
D
2 g squared + 5 g + 4
Option D

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