SOLUTION: How do I factor this problem? 3x^3-21x^2+30x I know I have to take out the greatest common factor which is 3x, but I can't figure out the rest. Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I factor this problem? 3x^3-21x^2+30x I know I have to take out the greatest common factor which is 3x, but I can't figure out the rest. Thank you!      Log On


   

Question 60743: How do I factor this problem?
3x^3-21x^2+30x
I know I have to take out the greatest common factor which is 3x, but I can't figure out the rest.
Thank you!
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
3X^3-21X^2+30X DIVIDE ALL TERMS BY X OR
X(3X^2-21X+30) NOT EXTRACT 3 FROM EACH TERM
3X(X^2-7X+10) NOW FACTOR THE EQUATION
3X(X-5)(X-2)