AnswersMathematics III AFactoring Polynomials Completely

Factoring Polynomials Completely Answers

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3

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)
4

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)
5

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
6

A student factors 3x2 – 12 to the following. 3(x2 – 4)Which statement about 3(x2 – 4) is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.
7

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
8

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
9

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
10

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

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