# How do you write a polynomial with zeros -6, 3, 5 and leading coefficient 1?

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Jan 21, 2018

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This has

We can find these constants using the known roots. If the roots are:

Since the constant term in each factor will have an opposite sign to the root, we have:

Substituting

The coefficient of the first term is the product of the coefficients of the x terms in each factor, since these are all

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