Math

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The factors of x^3 -4x^2 -x+4 are?

How do I solve this?

  • Math -

    use grouping

    x^2(x-4) -1(x-4)
    = ....

    take it from there.

  • Math -

    I do not understand how you grouped the numbers?

  • Math -

    expand my answer,
    will you not get the original?

    so, can I not reverse the process?

    btw, my next step would be

    (x-4)(x^2 - 4)
    = (x-4)(x+1)(x-1)

  • Math -

    x^3 -4x^2 -x + 4.
    The expression has 4 terms. Therefore,
    we can form 2 groups with 2 factorable terms in each group:

    (x^3 - x) + (-4x^2 + 4),
    Factor each pair:
    x(x^2 - 1) -4(x^2 - 1),
    Factor out (x^2 - 1):
    (x^2 - 1)(x - 4),
    (x + 1)(x - 1)(x - 4).

    NOTE: (X^2 - 1) = (x + 1)(x - 1)

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