SOLUTION: I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5.

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Question 567287: I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
I need help writing a polynomial function with rational coefficients in standard form with the given zeros 2,3,5.
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Since the zeros are 2,3,5 we can write the factored equation as
(x-2)(x-3)(x-5)
Multiplying the factors and collecting terms gives:
x^3-10x^2+31x-30
As a check, we can see read off the zeros from graph of the function:
graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E3-10x%5E2%2B31x-30%29