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How do I find a polynomial function of degree three and has the zeros 2, -1, and 3?

1 Answer

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Answer: you can multiply it out.


Explanation:


If any factor of a factored polynomial is zero, the whole polynomial is zero.


One factor has to be zero when x is 2. That factor is x-2. The others are x+1 and x-3.


The polynomial is (x-2)(x+1)(x-3). This is obviously a degree three polynomial, and it's zeros are obviously 2, -1, and 3.

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