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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: factorization
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shreyaarya (94)

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factorize  x^4 +16x - 12


and x^4 -16x +12


    
hsbhatt (5804)

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One way would to be assume a factorisation of the form (x^2+bx+c)(x^2+dx+e), b,c,d,e \in \mathbb{R}, This is possible as the given expression has real coefficients and hence the complex roots if any will come in pairs.


Having done this we should be able to compare coefficients. there will be 4 eqns in 4 unknows. Some of these coefficients will not be rational (Eisenstein's Criterion guarantees that). So its gonna be messy this way.


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hamba (448)

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Sir, what's going 2 be the final answer?


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hsbhatt (5804)

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Check out http://www.mathlinks.ro/viewtopic.php?t=222785


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