factor the following trinomial. h² + 5h - 14 (h + ?)(h - )
factor the following trinomial. h² + 5h - 14 (h + ?)(h - )
Answer
Explanation:
Step1: Find two numbers
We need two numbers that multiply to - 14 and add up to 5. The pairs of factors of - 14 are: (-1,14), (1, - 14), (-2,7), (2,-7).
Step2: Determine the correct pair
The pair (-2,7) satisfies the condition since (-2)×7=-14 and - 2 + 7=5.
Answer:
(h + 7)(h - 2)