SOLUTION: Factor the polynomial function f(x). Then solve the equation f(x)=0. F(x)=x^3+4x^2+x-6

Algebra ->  Equations -> SOLUTION: Factor the polynomial function f(x). Then solve the equation f(x)=0. F(x)=x^3+4x^2+x-6      Log On


   

Question 1129067: Factor the polynomial function f(x). Then solve the equation f(x)=0.
F(x)=x^3+4x^2+x-6
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x^3+4x^2+x-6
1 4 1 -6 Try -2
1 2 -3 0
(x+2)(x^2+2x-3)
(x+2)((x+3)(x-1)
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3%2B4x%5E2%2Bx-6%29
Roots are -3,-2,1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomial function f(x). Then solve the equation f(x)=0.
F(x)=x^3+4x^2+x-6
============
Try the factors of 6 first.
1, 2 & 3 |||||| Plus and minus.