SOLUTION: How to do I graph this function? {{{ g(x)=(x-3)^2(x+2) }}}

Question 627511: How to do I graph this function?

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
How to do I graph this function?

expand
x^2-6x+9(x+2)
x^3-6x^2+9x+2x^2-12x+18
x^3-4x^2-3x+18
use rational roots theorem to solve
...0...|....1......-4.......-3........18............
...1...|....1......-3.......-6........12..
...2...|....1......-2.......-7.........4..
...3...|....1......-1.......-6.........0 (3 is a root)
(x-3)(x^2-x-6)
(x-3)(x-3)(x+2)
roots are: 3 (multi. 2) and -2
y-intercept:
set equation=0
y=18
With these points, you should be able to graph given expression:
See graph below:

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