Answer:
6(p + 5)(p + 10)
Explanation:
6p² + 90p + 300 ← factor out 6 from each term
= 6(p² + 15p + 50) ← factor the quadratic
consider the factors of the constant term (+ 50) which sum to give the coefficient of the p- term (+ 15)
the factors are + 5 and + 10 , then
p² + 15p + 50 = (p + 5)(p + 10)
and
6p² + 90p + 300
= 6(p + 5)(p + 10)