# Synthetic Division

• September 2nd 2009, 01:05 PM
Metalingus96
Synthetic Division
So my problem is
"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 zeros."

Polynomial Equation: $x^3 + 7x + 6 = 0$ Value of X = 2

I don't really understand what I'm bein asked to do..
• September 2nd 2009, 01:48 PM
Jameson
If you know one of the zeroes of a polynomial, you can divide synthetically by it to reduce the polynomial one degree. So a 3rd degree becomes a 2nd degree. However, 2 is not a zero of this polynomial and neither is -2. Did you copy it wrong?
• September 2nd 2009, 02:57 PM
Metalingus96
Err, I figured it out haha.