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algebra

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factor by grouping if possible and check
5x^3+4x^2-10x-8

  • algebra -

    5x^3+4x^2-10x-8
    Note that the coefficients are
    5,4, -10,-8
    with 5,4 as a common factor
    =5,4, -2(5,4)
    So we can factorize by grouping.

    5x^3+4x^2-10x-8
    =x^2(5x+4) -2(5x+4)
    Taking (5x+4) as the common factor
    =(x^2-2)(5x+4)
    would be the answer for rational factors.
    Further factoring into
    (x+√2)(x-√2)(5x+4)
    is possible but two of the factors are not rational.

    which are in the same proportion

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