Ask Question
13 January, 08:32

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?

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.

+2
Answers (2)
  1. 13 January, 10:07
    0
    It is not B if you are taking the Ed

    enuity online test.
  2. 13 January, 10:08
    0
    The correct answer is the second option:

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

    After grouping the terms, the common factors from each binomial can be factored out:

    3x2 (2x2 + 1) - 4 (2x2 + 1)

    Further factoring of the common binomial:

    (3x2 - 4) (2x2 + 1)

    Therefore, the factored form of x4 - 8x2 + 3x2 + 4 is (3x2 - 4) (2x2 + 1).
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 - ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers