Factoring Polynomials Completely

Question 1

Which polynomial is factored completely?

Revolt · Accepted Answer

3 x (9 x squared + 1)

Question 2

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

Revolt · Accepted Answer

The expression is equivalent, but it is not completely factored.

Question 3

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

Revolt · Accepted Answer

x (x cubed + 2) (3 x minus 7)

Question 4

What is the completely factored form of xy3 – x3y?

Revolt · Accepted Answer

xy(y + x)(y – x)

Question 5

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

Revolt · Accepted Answer

(x + 1) (x minus 1) (x squared + 9)

Question 6

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

Revolt · Accepted Answer

x (2 x squared + 4 x minus 1)

Question 7

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

Revolt · Accepted Answer

12

Question 8

What is the factored form of n2 – 25?

Revolt · Accepted Answer

(n – 5)(n + 5)

Question 9

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

Revolt · Accepted Answer

One of the factors is (x + 2).

Question 10

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

Revolt · Accepted Answer

factor by grouping

Factoring Polynomials Completely Answers