SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros. x=1,2,3/5

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Question 1010817: Write a polynomial function with rational coefficients in standard form with the given zeros.
x=1,2,3/5
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
"Standard form"?

Factored form, this will have rational coefficients.
%28x-1%29%28x-2%29%28x-3%2F5%29
You can fully multiply and simplify into GENERAL form.

This is a suggested way:
%28x-1%29%28x-2%29%2A%281%2F5%29%285x-3%29
%28x%5E2-3x%2B2%29%281%2F5%29%285x-3%29
%281%2F5%29%28x%5E2-3x%2B2%29%285x-3%29
%281%2F5%29%285x%5E3-15x%5E2%2B10x-3x%5E2%2B9x-6%29
%281%2F5%29%285x%5E3-18x%5E2%2B19x-6%29
Now distribute the previously removed factor.
highlight%28x%5E3-%2818%2F5%29x%5E2%2B%2819%2F5%29x-6%2F5%29