Faelyn grouped the terms and factored the GCF out of the groups of the polynomial 6x4 – 8x2 + 3x2 + 4. Her work is shown.
Answers
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.
Answer:
The answer is A
Step-by-step explanation: Edgenuity 2021