SOLUTION: 6x^4-39x^2+60?

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Question 256600: 6x^4-39x^2+60?
Found 3 solutions by stanbon, checkley77, drk:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6x^4-39x^2+60
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2x^4 - 13x^2 + 20
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2x^4 - 8x^2 - 5x^2 + 20
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2x^2(x^2 - 4) - 5(x^2- 4)
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(x^2-4)(2x^2-5)
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(x-2)(x+2)(2x^2-5)
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Cheers,
stan H.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
6x^4-39x^2+60
(3x^2-12)(2x^2-5)
3(x^2-4)(2x^2-5)
2(x+2)(x-2)(2x^2-5) ans.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you want to factor the following:
(i) 6x%5E4-39x%5E2%2B60
Replace x^2 with a dummy variable like U. So U = x^2 and U^2 = x^4. We get
(ii) 6U%5E2-39U%2B60
Now this looks more familiar. Factor this to get
(iii) %28U-4%29%286U-15%29
Remember to put back x^2 where you had U. We get
(iv) %28x%5E2-4%29%286x%5E2-15%29
we can factor even further to get
(v) %28x%2B2%29%28x-2%29%283%29%282x%5E2-5%29