SOLUTION: form a polynomial whose zeros and degree are given. zeros: -1, 1, -9; degree 3

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Question 423770: form a polynomial whose zeros and degree are given. zeros: -1, 1, -9; degree 3
Answer by Gogonati(855) About Me  (Show Source):
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Solution:Since the given zeros for this polynomial are -9, -1, 1, than this polynomial has for linear factors: x+9, x+1, x-1. Thus, the polynomial is:
%28x%2B9%29%2A%28x%2B1%29%2A%28x-1%29=%28x%2B9%29%2A%28x%5E2-1%29=x%5E3%2B9x%5E2-x-9+