Question

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

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)

Answer 2

Answer:

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

Step-by-step explanation:

Given that Faelyn noticed that she does not have a common factor.

The polynomial is

$6x^4-5x^2-4$

She can multiply constant term and leading term.

6*-4 =-24

The factors are -8 and 3 which when added give the middle coefficient -5.

Hence this can be factored by grouping as

$(6x^4+3x^2)-(8x^2+4)\\= 3x^2(2x^2+1)-4(2x^2+1)\\=(3x^2-4)(2x^2+1)$