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Factoring Polynomials Completely Answers

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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)
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

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

Which value of a would make the following expression completely factored?x2 – a

A
12
B
36
C
49
D
81
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

Which value of c would make the following expression completely factored?8x + cy

A
2
B
7
C
12
D
16
7

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
8

What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?

A
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
Option A
B
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
Option B
C
x (x cubed + 2) (3 x minus 7)
Option C
D
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)
Option D
9

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
10

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).

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