Question 567287
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(300,300,-8,8,-8,8,x^3-10x^2+31x-30)}}}