Question

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.

Answer 1

The answer is C. (x2 + 5)(3x2 – 2)

Answer 2

Answer:

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

Step-by-step explanation:

The polynomial is first correctly stated as follows

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

This is rearranged, grouped and solved as follows:

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

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

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

Factorizing the common factors $(x^{2} + 5)$, we have the product of the factored form of the polynomial as follows:

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

That is the third option in the question if rewritten in the correct form.