Question

enter the correct answer in the box.

what is the factored form of this expression?

(2x^3 + 5x^2 + 6x + 15)

write all factors in standard form.

Explanation:

Group the terms of the polynomial

$$ (2x^3 + 5x^2) + (6x + 15) $$

Factor out the greatest common factor from each group

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

Factor out the common binomial factor

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

Answer:

Enter the correct answer in the box.

What is the factored form of this expression?

\(2x^3 + 5x^2 + 6x + 15\)

Write all factors in standard form.

<blank>\((2x + 5)(x^2 + 3)\)</blank>