In Exercises 4752, use synthetic division to show that x is a solution of the

Chapter 3, Problem 52

(choose chapter or problem)

Using the Factor Theorem 

In Exercises 47–52, use synthetic division to show that x is a solution of the third degree polynomial equation, and use the result to factor the polynomial completely. List all the real solutions of the equation.

          Polynomial Equation                              Value of x

\(x^{3}-x^{2}-13 x-3=0\)                                \(x=2-\sqrt{5}\)

Text Transcription:

x^{3}-x^{2}-13x-3=0

x=2-sqrt{5}