Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, write nf for your answer.

\\x^3 + 13x^2 + 36x\\

Explanation:

Factor out the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$ x^3 + 13x^2 + 36x = x(x^2 + 13x + 36) $$

Find factors with given sum and product

Using the Finding Factors with Given Sum and Product knowledge point

$$
LATEXBLOCK0
$$

Factor the remaining trinomial

Using the Factoring Trinomials knowledge point

$$ x^2 + 13x + 36 = (x + 9)(x + 4) $$

Write the completely factored expression

Using the Factoring Trinomials and Factoring Polynomials by GCF knowledge points

$$ x^3 + 13x^2 + 36x = x(x + 9)(x + 4) $$

Answer:

\(x(x + 9)(x + 4)\)