Question

factor completely.

\\5w^2 - 35w + 50\\

Explanation:

Factor out the greatest common factor

$$ 5w^2 - 35w + 50 = 5(w^2 - 7w + 10) $$

Factor the remaining quadratic trinomial

$$ w^2 - 7w + 10 = (w - 2)(w - 5) $$

Combine the factored components

$$ 5w^2 - 35w + 50 = 5(w - 2)(w - 5) $$

Answer:

Factor completely.
\(5w^2 - 35w + 50 =\) <blank>\(5(w - 2)(w - 5)\)</blank>