SOLUTION: Find a polynomial function of degree 4 whose zeros are -1 and 1 where each zero has multiplicity 2.

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Question 1051660: Find a polynomial function of degree 4 whose zeros are -1 and 1 where each zero has multiplicity 2.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Find a polynomial function of degree 4 whose zeros are -1 and 1 where each zero has multiplicity 2.
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p(x) = %28x-%28-1%29%29%5E2%2A%28x-1%29%5E2 = %28x%2B1%29%5E2%2A%28x-1%29%5E2 = %28x%5E2-1%29%5E2 = x%5E4+-+2x%5E2+%2B+1.