SOLUTION: Hello! Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots. This one seems tough.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello! Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots. This one seems tough.      Log On


   

Question 65529: Hello!
Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots.
This one seems tough.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find a polynomial with leading coefficient 1 and degree 3 that has -1,1, and 3 as roots.
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f(x)=1(x+1)(x-1)(x-3)
f(x)=(x^2-1)(x-3)
f(x)=x^3-3x^2-x+3
Cheers,
Stan H.