Answer:
(a + 9)(a + 5)
Explanation:
a² + 14a + 45
consider the factors of the constant term (+ 45) which sum to give the coefficient of the a- term (+ 14)
the factors are + 9 and + 5 , since
+ 9 × + 5 = = + 45 and + 9 + 5 = + 14 , then
a² + 14a + 45 = (a + 9)(a + 5)