Answer:
see explanation
Step-by-step explanation:
(a)
(x + 2)(x + 12) ← expand using FOIL gives
x² + 14x + 24 ≠ x² + 10x + 24
(b)
consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)
the factors are + 6 and + 4 , since
6 × 4 = 24 and 6 + 4 = 10 , then
x² + 10x + 24 = (x + 6)(x + 4)
