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Please explain

One factor of x3 + 5x2 + 2x - 8 is (x + 4). Find the remaining factors.

  • Algebra -

    perform either synthetic division or long algebraic division of
    (x^3 + 5x^2 + 2x - 8) by (x+4) to get

    (x^3 + 5x^2 + 2x - 8) = (x+4)(x^2 + x - 2)

    I will leave it up to your to further factor the quadratic, it comes apart very easily.

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