SOLUTION: write a polynomial function in standard form with zeros at -5 -2 and 2.

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Question 928381: write a polynomial function in standard form with zeros at -5 -2 and 2.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
if zeros at -5,+-2, and 2, we have

f%28x%29=%28x-%28-5%29%29%28x-%28-2%29%29%28x-2%29
f%28x%29=%28x%2B5%29%28x%2B2%29%28x-2%29
f%28x%29=%28x%5E2%2B2x%2B5x%2B10%29%28x-2%29
f%28x%29=%28x%5E2%2B7x%2B10%29%28x-2%29
f%28x%29=x%5E3%2B7x%5E2%2B10x-2x%5E2-14x-20
f%28x%29=x%5E3%2B5x%5E2-4x-20

+graph%28+600%2C+600%2C+-10%2C10%2C+-25%2C+25%2C+x%5E3%2B5x%5E2-4x-20%29+