SOLUTION: Form a polynomial whose zeros are -2, 2, 3; degree 3

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Question 157900: Form a polynomial whose zeros are -2, 2, 3; degree 3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=-2, x=2, or x=3 Start with the given zeros


x%2B2=0, x-2=0, or x-3=0 Get all values to the left side


%28x%2B2%29%28x-2%29%28x-3%29=0 Use the zero product property to combine the three equations


%28x%5E2-4%29%28x-3%29=0 FOIL the first two parenthesis


x%5E3-3x%5E2-4x%2B12=0 FOIL


So the polynomial of degree 3 y=x%5E3-3x%5E2-4x%2B12 has the zeros -2, 2, 3