Factor x3-2x2-9x+18 completely if(x+3) is a factor
2 answers:
Factor x^3 -2x^2-9x+18
= x^2(x - 2) - 9(x - 2)
= (x^2 - 9)(x -2)
= (x + 3 )(x - 3)(x - 2)
So (x+3) is a factor
Dividing:-
x + 3) x^3 - 2x^2 - 9x + 18 { x^2 - 5x + 6
x^3 + 3x^2
----------------
-5x^2 - 9x
-5x^2 - 15x
----------------
6x + 18
6x + 18
.............
The quotient is x^2 - 5x + 6
which is (x - 3)(x - 2)
So the factors of the original expression
= (x + 3)(x - 3)(x - 2) answer
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