SOLUTION: For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a product of linear factors. f(x)= ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a product of linear factors. f(x)= ?      Log On


   

Question 697215: For the polynomial below, -1 is a zero.
f(x)=x^3 +5x^2 +17x +13
Express f(x) as a product of linear factors.
f(x)= ?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For the polynomial below, -1 is a zero.
f(x)=x^3 +5x^2 +17x +13
Express f(x) as a product of linear factors.
**
use synthetic division:
..-1..|....1.....5.....17.....13...............
........|.........-1.....-4...-13......
........|...1......4.....13.....0......
f(x)=(x+1)(x^2+4x+13)
function has one real and 2 non-real roots or zeros