Question

Pls help!

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: (6x^4 _ 8x^2) + (3x^2 + 4)

Step 2: 2x^2(3x^2 _ 4) + 1(3x^2 + 4)

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

Answer 1

B. Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).

Explanation:

I guessed it and got this as the answer

Answer 2

She mightstart again, this time grouping i a different way.

For example:

Step 1: [6x^4 + 3x^2] - [8x^2 - 4]

Step 2: 3x^2 [2x^2 + 1] - 4[2x^2 - 1]

But this drives to the same conclusion.

She could yet try other ways like adding the like terms to get: 6x^4 - 5x^2 + 4

and make a change of variable x^2 = y=> 6y^2 - 5y + 4 and now use the quadratic formula to find the roots.

This method will tell without doubts that there are not roots and the polynomial cannot be factored. So, the GCF is 1.