Answer:
(x – 2)(x – 6)
Step-by-step explanation:
Step 1. Use synthetic division to factor the polynomial.
-1| 1 5 -8 -12
| -1 -4 -12
1 4 -12 0
So, f(x) = (x + 1)(x² + 4x - 12)
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Step 2. Factor the quadratric
Find two numbers whose product is -12 and whose sum is +4.
The numbers are -2 and +6.
x² + 4x - 12 = (x - 2)(x + 6)
The graph shows the x-intercepts at (2,0), (-1,0), and (-6,0), corresponding to the factors (x – 2), (x + 1), and (x + 6).
