9514 1404 393
Answer:
-3, -1, 8
Step-by-step explanation:
The quadratic factor can be found by dividing f(x) by (x -8). Synthetic division is good for that. The result in the attachment shows the quadratic factor to be x² +4x +3. That factors as ...
x² +4x +3 = (x +1)(x +3)
Then the factors of f(x) are (x -8), (x +1), (x +3). The zeros of f(x) are the values of x that make these factors zero:
x -8 = 0 ⇒ x = 8
x +1 = 0 ⇒ x = -1
x +3 = 0 ⇒ x = -3
The zeros of f(x) are x = -3, -1, and 8.
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The graph in the second attachment confirms these zeros.
