SOLUTION: Factorise x^4 - x^2 + 6x

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Question 1117032: Factorise x^4 - x^2 + 6x - 9.
Found 3 solutions by ankor@dixie-net.com, MathTherapy, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
Factorise x^4 - x^2 + 6x - 9.
X^2(x^2-1) + 3(2x-3)
difference of squares
x^2(x-1)(x+1) + 3(2x-3)
that's about all you can do with it

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!
Factorise x^4 - x^2 + 6x - 9.

------ Separating a TRINOMIAL that can be factored
, or
Now, we can see that we have a DIFFERENCE of TWO SQUARES BINOMIAL, which gives us:

Correct answer:

Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website!
.
The tutor @MathTherapy found a perfect (a brilliant) solution.

SOLUTION: Factorise x^4 - x^2 + 6x - 9.