Question

factor the given trinomial. if the trinomial cannot be factored, indicate
ot factorable\.

\\6p^4 - 24p^3 - 192p^2\\

Explanation:

Factor out the greatest common factor

Using the Factoring Polynomials by GCF knowledge point

$$
LATEXBLOCK0
$$

Find factors with given sum and product

Using the Finding Factors with Given Sum and Product knowledge point

$$
LATEXBLOCK1
$$

Factor the remaining quadratic trinomial

Using the Factoring Trinomials knowledge point

$$ p^2 - 4p - 32 = (p - 8)(p + 4) $$

Write the completely factored expression

$$ 6p^4 - 24p^3 - 192p^2 = 6p^2(p - 8)(p + 4) $$

Answer:

\(6p^2(p - 8)(p + 4)\)