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Math Help - factorize

  1. #1
    Member kezman's Avatar
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    factorize

    Factorize in Q[x] , R[x] and C[X]

    4x^6 + 8x^5 - 3x^4 - 19x^3 - 26x^2 - 15x - 3


    I couldnt finish it but this is up to where I did:

    4(x+1/2)^2 (x^4+x^3-2x^2-3x-3)
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  2. #2
    Eater of Worlds
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    (2x+1)^{2}(x^{2}-3)(x^{2}+x+1)
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  3. #3
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    Hello, kezman!

    Factorize in Q[x],\;R[x]\text{ and }C[X]:\;\;4x^6 + 8x^5 -  3x^4 - 19x^3 - 26x^2 - 15x - 3

    I did:  4\left(x+\frac{1}{2}\right)^2 (x^4+x^3-2x^2-3x-3) . . . correct!

    Galctus did the hard work . . .

    In Q[x]\!:\;\;(2x + 1)^2(x^3 - 3)(x^2+x+1)

    In R[x]\!:\;\;(2x + 1)^2\left(x - \sqrt{3}\right)\left(x + \sqrt{3}\right)(x^2 + x + 1)

    In C[x]\!:\;\;(2x + 1)^2\left(x - \sqrt{3}\right)\left(x + \sqrt{3}\right) \left(x + \frac{1 + i\sqrt{3}}{2}\right)\left(x + \frac{1 - i\sqrt{3}}{2}\right)

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  4. #4
    Member kezman's Avatar
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    thanks for the help!
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