SOLUTION: Please help me factor this polynomial 6x^8+17x^4+12

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Question 364574: Please help me factor this polynomial
6x^8+17x^4+12

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
6x^8+17x^4+12
If I
Let y = x^4
then
y^2 = x^8
.
We can rewrite our original equation:
6x^8+17x^4+12
as
6y^2+17y+12 (which is more familiar)
.
This can be factored as:
6y^2+17y+12
Rewrite the middle term:
6y^2+8y+9y+12
Group terms:
(6y^2+8y)+(9y+12)
Factor:
2y(3y+4) + 3(3y+4)
(3y+4)(2y+3)
.
Put the above back into terms of x:
since y = x^4 we have:
(3x^4+4)(2x^4+3)