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 factor of the given polynomial are (3x^2-2)(x^2+5)

The polynomial

$3x^4-2x^2+15x^2-10$

What is the factor of the polynomial?

Factoring a polynomial is expressing the polynomial as a product.

The rearranged, grouped, and solved as follows

$3x^4+15x^2-2x^2-10$

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

Factor out the common term

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

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

That is the third option is the correct option.

Therefore the factor of the given polynomial are  (3x^2-2)(x^2+5)

To learn more about the factor method visit:

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