4 months ago
Q:

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.

Accepted Solution

A:
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)