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 for factoring

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

Step2: Factor out GCF from each group

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

Step3: Factor out common binomial

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

Answer:

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