Answer:
see explanation
Explanation:
(a)
x² + 6x + 8
consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 6)
the factors are + 2 and + 4 , since
2 × 4 = + 8 and 2 + 4 = + 6 , then
x² + 6x + 8 = (x + 2)(x + 4) ← in factored form
(b)
x² + 6x + 8 = 0 , that is
(x + 2)(x + 4) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 4 = 0 ⇒ x = - 4