Question

question

factor completely: (4p^2 - 16p + 12).

provide your answer below:

Explanation:

Extract the greatest common factor

Using the Greatest Common Factor Factoring knowledge point

$$ 4p^2 - 16p + 12 = 4(p^2 - 4p + 3) $$

Factor the remaining trinomial

Using the Factoring Trinomials knowledge point

$$ p^2 - 4p + 3 = (p - 3)(p - 1) $$

Combine the factored parts

Using the Greatest Common Factor Factoring and Factoring Trinomials knowledge points

$$ 4p^2 - 16p + 12 = 4(p - 3)(p - 1) $$

Answer:

Factor completely: \(4p^2 - 16p + 12\) = <blank>\(4(p - 3)(p - 1)\)</blank>