SOLUTION: I need to completely factor out this problem. can anyone help me? 3x^4 + 6x^3 + 5x^3 + 10x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to completely factor out this problem. can anyone help me? 3x^4 + 6x^3 + 5x^3 + 10x^2      Log On


   



Question 111911: I need to completely factor out this problem. can anyone help me?
3x^4 + 6x^3 + 5x^3 + 10x^2

Found 2 solutions by scott8148, MathLover1:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x^2(3x^2+6x+5x+10) ___ x^2(3x+5)(x+2)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E4+%2B+6x%5E3+%2B+5x%5E3+%2B+10x%5E2………factor out common x%5E2
x%5E2%283x%5E2+%2B+6x+%2B+5x+%2B+10%29……… group the first and third term together and the second and fourth term together like this
x%5E2%28%283x%5E2+%2B++5x%29+%2B++%286x+%2B+10%29%29……… factor a 1x+out of the first group and factor a+2 out of the second group.
x%5E2%28x%283x+%2B+5%29+%2B+2%283x+%2B+5%29%29……… we have a common term %283x+%2B+5%29and we can combine the two terms
x%5E2%283x+%2B+5%29%28x++%2B+2%29