SOLUTION: How can the polynomial 6d^4+9d^3-12d^2 be factored?

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Question 943631: How can the polynomial 6d^4+9d^3-12d^2 be factored?
Found 3 solutions by MathLover1, Theo, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
this is a quadratic formula in disguise.
the equation given is:
6d^4+9d^3-12d^2
set it equal to 0 to get:
6d^4+9d^3-12d^2 = 0
factor out d^2 and the equation becomes:
d^2 * (6d^2 + 9d - 12) = 0
this is a quadratic equation that can be factored using the quadratic formula.
the solutions are:
x = 0
x = .851
x = -2.351
the graph of the equation is shown below:
$$$

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
How can the polynomial 6d^4+9d^3-12d^2 be factored?

6d%5E4+%2B+9d%5E3+-+12d%5E2
highlight_green%283d%5E2%282d%5E2+%2B+3d+-+4%29%29 ------ Factoring out GCF, 3d%5E2
That's it, since 2d%5E2+%2B+3d+-+4 is PRIME.