Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 - 8x2 + 3x2 + 4. Her work is shown.

Step 1: (6x4 - 8x2) + (3x2 + 4)

Step 2: 2x2 (3x2 - 4) + 1 (3x2 + 4)

Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?

Faelyn should realize that her work shows that the polynomial is prime.

Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) - (8x2 + 4).

In Step 2, Faelyn should factor only 2x out of the first expression.

Faelyn should factor out a negative from one of the groups so the binomials will be the same.

Question

Arrow

Mathematics

12 August, 16:24

Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 - 8x2 + 3x2 + 4. Her work is shown.

Step 1: (6x4 - 8x2) + (3x2 + 4)

Step 2: 2x2 (3x2 - 4) + 1 (3x2 + 4)

Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?

Faelyn should realize that her work shows that the polynomial is prime.

Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) - (8x2 + 4).

In Step 2, Faelyn should factor only 2x out of the first expression.

Faelyn should factor out a negative from one of the groups so the binomials will be the same.

+3

Answers (2)

Know the Answer?

Conner Solomon · Answer 1

It is not B if you are taking the Ed

enuity online test.

Edward Cross · Answer 2

The correct answer is the second option:

Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) - (8x2 + 4)

After grouping the terms, the common factors from each binomial can be factored out:

3x2 (2x2 + 1) - 4 (2x2 + 1)

Further factoring of the common binomial:

(3x2 - 4) (2x2 + 1)

Therefore, the factored form of x4 - 8x2 + 3x2 + 4 is (3x2 - 4) (2x2 + 1).