SOLUTION: write a polynomial function in standard form with the given zeros for x=-2,1,4

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Question 1009890: write a polynomial function in standard form with the given zeros for x=-2,1,4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given zeros:
x%5B1%5D=-2
x%5B2%5D=1
x%5B3%5D=4

f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%28-2%29%29%28x-1%29%28x-4%29
f%28x%29=%28x%2B2%29%28x-1%29%28x-4%29
f%28x%29=%28x%5E2-x%2B2x-2%29%28x-4%29
f%28x%29=%28x%5E2%2Bx-2%29%28x-4%29
f%28x%29=x%5E3%2Bx%5E2-2x-4x%5E2-4x%2B8
f%28x%29=x%5E3-3x%5E2-6x%2B8

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E3-3x%5E2-6x%2B8%29+