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

Lawson

Mathematics

5 October, 03:34

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.

+5

Answers (1)

Know the Answer?

Rafael Buck · Answer 1

Without knowing what Faelyn has done so far or what she is working with, the second selection seems appropriate.

6x^4 - 5x^2 - 4

= (6x^4 + 3x^2) - (8x^2 + 4)

= 3x^2 * (2x^2 + 1) - 4 (2x^2 + 1)

= (3x^2 - 4) (2x^2 + 1)