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

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

Step2: Factor out GCF from each group

Factor out $5p^2$ from the first group and $3$ from the second group: $5p^2(p - 2) + 3(p - 2)$

Step3: Factor out common binomial factor

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

Answer:

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