Answer:
(w + 8)(w + 10)
Explanation:
given
w² + 18w + 80
consider the factors of the constant term (80) which sum to give the coefficient of the w- term (+ 18)
the factors are + 8 and + 10 , since
8 × 10 = + 80 and 8 + 10 = + 18
use these factors to split the w- term
w² + 8w + 10w + 80 ( factor the first/second and third/fourth terms )
= w(w + 8) + 10(w + 8) ← factor out (w + 8) from each term
= (w + 8)(w + 10) ← in factored form