SOLUTION: Explain and Graph f(x)=2x^2(x-3)(x+1)^2

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Question 177062: Explain and Graph f(x)=2x^2(x-3)(x+1)^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=2x%5E2%28x-3%29%28x%2B1%29%5E2
f(x) is a polynomial with a double zero at x=0, zero at x=3, and double zero at x=-1.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-2%2C+2%2C+2x%5E2%28x-3%29%28x%2B1%29%5E2%29
Graph below shows an expanded y range to see the behavior.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-100%2C+100%2C+2x%5E2%28x-3%29%28x%2B1%29%5E2%29