Answer:
(x + 2)(x + 3)(x - 3)
Explanation:
Given that x = - 2 is a zero then (x + 2) is a factor
Dividing x³ + 2x² - 9x - 18 by (x + 2) gives
x³ + 2x² - 9x - 18 = (x + 2)(x² - 9) = (x + 2)(x + 3)(x - 3)
x
3
+
2
9
18
x3+2x2+9x+18
Factor out the greatest common factor from each group.
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(
)
x2(x+2)+9(x+2)
Factor the polynomial by factoring out the greatest common factor,
x+2
.
(x+2)(x2+9)
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