Factoring Polynomials Completely Answers

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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
2
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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)
3

Which polynomial is factored completely?

A
4 (4 x Superscript 4 Baseline minus 1)
Option A
B
2 x (y cubed minus 4 y squared + 5y)
Option B
C
3 x (9 x squared + 1)
Option C
D
5 x squared minus 17 x + 14
Option D
4

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)
5

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)
7

Which statement about 6x2 + 7x – 10 is true?

A
One of the factors is (x + 2).
B
One of the factors is (3x – 2).
C
One of the factors is (2x + 5).
D
One of the factors is (x – 5).
8

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
9

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
10

What is the factored form of n2 – 25?

A
(n – 25)(n – 1)
B
(n – 5)(n + 5)
C
(n + 5)(n + 5)
D
(n – 25)(n + 1)

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