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Which shows one way to determine the factors of x^3 + 5x^2 - 6x - 30 by grouping?

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  1. 17 May, 17:42
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    The factors of x^3 + 5x^2 - 6x - 30 are (x^2-6) (x+5).

    Step-by-step explanation:

    The given expression is:

    x^3 + 5x^2 - 6x - 30

    Group the first two terms and last two terms:

    (x^3+5x^2) - (6x+30)

    Now take common of each term:

    x^2 (x+5) - 6 (x+5)

    (x^2-6) (x+5)

    Thus the factors of x^3 + 5x^2 - 6x - 30 are (x^2-6) (x+5).

    You can further solve this:

    (x^2-6) (x+5) = (x-√6) (x+√6) (x+5) ...
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