SOLUTION: factor the trinomial completely 12x^3 + 26x^2 + 12x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor the trinomial completely 12x^3 + 26x^2 + 12x      Log On


   

Question 776930: factor the trinomial completely
12x^3 + 26x^2 + 12x
Found 2 solutions by htmentor, 1998Baby:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
2x(6x^2 + 13x + 6)
2x(3x+2)(2x+3)

Answer by 1998Baby(63) About Me  (Show Source):
You can put this solution on YOUR website!
12x^3 + 26x^2 + 12x
you take out an x and divide everything by 2 to make the equation simpler.
2x(6x^2+13x+6)
then you multiply 6 and 6
you then have to find two numbers that when added equal 13 and when multiplied equal 36.
the numbers are 4 and 9
then you put them in the equation like this
2x(6x^2+4x+9x+6)
finish this equation using factoring by grouping
2x 2x(3x+2)+3(3x+2)
if you did this right you should have the same equation in the parenthesis
final answer: 2x(2x+3)(3x+2)