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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.

Respuesta :

sqdancefan
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:

[tex](3x^2-4)(2x^2+1)[/tex]

Step-by-step explanation:

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

The polynomial is

[tex]6x^4-5x^2-4[/tex]

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

[tex](6x^4+3x^2)-(8x^2+4)\\= 3x^2(2x^2+1)-4(2x^2+1)\\=(3x^2-4)(2x^2+1)[/tex]

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