Question

factor the trinomial.

\\4x^4 + 76x^3 + 360x^2 = \\

Explanation:

Factor out the greatest common factor

$$ 4x^4 + 76x^3 + 360x^2 = 4x^2(x^2 + 19x + 90) $$

Factor the remaining quadratic trinomial

$$ x^2 + 19x + 90 = (x + 9)(x + 10) $$

Combine the factored components

$$ 4x^4 + 76x^3 + 360x^2 = 4x^2(x + 9)(x + 10) $$

Answer:

Factor the trinomial.
\(4x^4 + 76x^3 + 360x^2 =\) <blank>\(4x^2(x + 9)(x + 10)\)</blank>