Question 71792
Find the polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots
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If 1 is a root, x=1, or x-1=0
If -1 is a root, x=-1 or x+1=0
If 3 is a root, x=3, or x-3=0
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Multiply those three results and you get 
(x-1)(x+1)(x-3)=0
That is the polynomial you want.
If you multiply it out you get:
=(x^2-1)(x-3)
=x^3-3x^2-x+3
If you are asked for the equation that has those roots and leading coefficient
of 1 you write: y=x^3-3x^2-x+3
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Cheers,
Stan H.