Question

week 7
(x + 4) is a factor of $x^{3}+x^{2}-16x - 16$. what are the rest of the factors? write your factors in parenthesis
factors: (x + 4)

Explanation:

Step1: Use polynomial long - division

Divide $x^{3}+x^{2}-16x - 16$ by $x + 4$.

Step2: Set up long - division

$\frac{x^{3}+x^{2}-16x - 16}{x + 4}=x^{2}-3x - 4$

Step3: Factor the quotient

Factor $x^{2}-3x - 4=(x - 4)(x+1)$

Answer:

$(x - 4)(x + 1)$