SOLUTION: Factor completely: f(x)=x^4-5x^3+6x^2

Algebra ->  Equations -> SOLUTION: Factor completely: f(x)=x^4-5x^3+6x^2      Log On


   

Question 89219: Factor completely:
f(x)=x^4-5x^3+6x^2
Answer by malakumar_kos@yahoo.com(315) About Me  (Show Source):
You can put this solution on YOUR website!


Factor completely:
f(x)=x^4-5x^3+6x^2
f(x) = x^4-5x^3+6x^2
= x^2(x^2-5x+6)
= x^2(x^2-3x-2x+6)
= x^2[x(x-3)-2(x-3)]
= x^2(x-3).(x-2)