Answer: Factors (x + 2)(x + 7)
Solutions x = -2, x = -7
Explanation:
h(x) = x² + 9x + 14
∧
1 + 14 = 15
2 + 7 = 9 ⇒ This sum is the coefficient of the middle term!
(x + 2) (x + 7)
To get the solutions, set each factor equal to zero and solve.
x + 2 = 0 x + 7 = 0
-2 -2 -7 -7
x = -2 x = -7