Question

ricardo is factoring the polynomial, which has four terms, (5x^3 + 20x^2 + 2x + 8) (5x^2(x + 4) + 2(x + 4)) which is the completely factored form of his polynomial? ((7x^2 + 2)(x + 4)) (7x^2(x + 4)) ((5x^2 + 2)(x + 4)) (5x^2(x + 4))

Explanation:

Step1: Group polynomial terms

$5x^3 + 20x^2 + 2x + 8 = (5x^3 + 20x^2) + (2x + 8)$

Step2: Factor out GCF from each group

$= 5x^2(x + 4) + 2(x + 4)$

Step3: Factor out common binomial

$= (5x^2 + 2)(x + 4)$

Answer:

$(5x^2 + 2)(x + 4)$