SOLUTION: how is algebra problem factored x^3+2x^2+x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how is algebra problem factored x^3+2x^2+x      Log On


   

Question 209406: how is algebra problem factored
x^3+2x^2+x
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E3%2B2x%5E2%2Bx Notice that eah term contains a factor of x.
%28x%29x%5E2%2B2x%2A%28x%29%2B1%2A%28x%29 First factor out the x.
x%28x%5E2%2B2x%2B1%29 Now factor the trinomial in the parentheses.
highlight_green%28x%28x%2B1%29%28x%2B1%29%29 which can also be written as:
highlight%28x%28x%2B1%29%5E2%29