Question

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping. Which product is the factored form of the polynomial? (–x2 – 5)(3x2 + 2) (x2 – 2)(3x2 + 5) (x2 + 5)(3x2 – 2) (3x2 – 5)(x2 + 2)

Answer 1

The answer is C. (x2 + 5)(3x2 – 2)

Answer 2

`(x^2+5)(3x^2 -2)`

Explanation:

Factor the polynomial
`3x^4 -2x^2 + 15x^2 - 10` by grouping.

To factor by grouping we group first two terms and last two terms

`(3x^4 -2x^2) + (15x^2 - 10)`

Factor out GCF from each group

`x^2(3x^2 -2) + 5(3x^2 - 2)`

both have same factor 3x^2-2

So we factor out 3x^2-2

`(x^2+5)(3x^2 -2)`