Rational Roots
If a polynomial of degree has a leading coefficient of and a constant term of what is the maximum number of rational values that can be a root of this polynomial?
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1 solution
By the Rational Roots Theorem, which states that every rational root has to be a factor of q p , where p is the constant term and q is the leading coefficient, the only rational roots are factors of 33. These are 1, 3, 11, 33, -1, -3, -11, and -33.