Posted by Chelsea on Wednesday, February 1, 2012 at 4:05pm.
List all possible rational roots, use synthetic division to find an actual root, then use this root to solve the equation.
x^3 7x^2 +13x 7=0

Math  Steve, Wednesday, February 1, 2012 at 5:50pm
possible rational roots are ±1,±7
division show 1 is a root
x^3 7x^2 +13x 7 = (x1)(x^2  6x + 7)
so the roots are 1 and 3±√2