Algebra

Rational Root Theorem

Rational Root Theorem - Polynomial Zeros

         

What is the sum of all the rational roots of x39x2+3x27=0 x^3 - 9x^2 + 3x -27 =0 ?

If aa is the sum of all real roots of the polynomial 7x3+6x2+20x3,7x^3+6x^2+20x-3, what is the value of 245a245a?

If aa is the sum of all real roots of the polynomial 7x38x2+15x2,7x^3-8x^2+15x-2, what is the value of 161a161a?

f(x)=16x333x2+16x33f(x) = 16 x^3 - 33 x^2 + 16 x - 33. The real root of f(x)f(x) has the form ab\frac{a}{b}, where aa and bb are coprime positive integers. What is the value of a+ba+b?

What is the sum of the rational roots of f(x)=x36x2+18x65f(x) = x^3 - 6x^2 + 18x -65?

Details and assumptions

You may choose to read the blog post on the rational root theorem.

×

Problem Loading...

Note Loading...

Set Loading...