Math, asked by iyanamoses05, 10 months ago

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

Answers

Answered by knjroopa
1

Step-by-step explanation:

Given  

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?

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

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

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

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

Given expression will be

        6 x^4 – 8x^2 + 3x^2 + 4  

        6x^4 + 8x^2 – 3x^2 – 4) = 0

         6x^4 – 8x^2 - 3x^2 + 4

         2x^2(3x^2 – 4) – 1(3x^2 – 4)

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

Answered by yellowstrawberrylife
1

Answer:

The answer is A

Step-by-step explanation: Edgenuity 2021

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