SOLUTION: Find all roots by factoring: f(x)=x^3+7x^2+10x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Find all roots by factoring: f(x)=x^3+7x^2+10x      Log On


   

Question 373986: Find all roots by factoring: f(x)=x^3+7x^2+10x
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find all roots by factoring:
f%28x%29+=+x%5E3%2B7x%5E2%2B10x First, factor an x since this is a common factor in all three terms.
f%28x%29+=+x%28x%5E2%2B7x%2B10%29 Now factor the trinomial.
f%28x%29+=+x%28x%2B5%29%28x%2B2%29 Now set f%28x%29+=+0
x%28x%2B5%29%28x%2B2%29+=+0 Apply te zero product rule.
x+=+0 or x%2B5+=+0 or x%2B2+=+0 so the roots are:
x+=+0
x+=+-5
x+=+-2