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)

(3x² - 2)(x² + 5)

Step-by-step explanation:

Given

3 - 2x² + 15x² - 10

Factor the first/second and third/fourth terms

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

Step-by-step explanation:

The polynomial is

You can group the first and third term and the second and last term

Factorize each pair

Finally, you can factor the and obtain

Then, the answer is (x2 + 5)(3x2 – 2)