Question

enter the correct answer in the box.
what is the factored form of this expression?
$5p^3 - 10p^2 + 3p - 6$
write all factors in standard form.

Explanation:

Step1: Group terms into pairs

Group the first two and last two terms:
$(5p^3 - 10p^2) + (3p - 6)$

Step2: Factor out GCF from each group

Factor $5p^2$ from first pair, 3 from second pair:
$5p^2(p - 2) + 3(p - 2)$

Step3: Factor out common binomial

Factor out $(p - 2)$ from both terms:
$(p - 2)(5p^2 + 3)$

Answer:

$(p - 2)(5p^2 + 3)$