algebra

factor x^3 + 3x^2 + 3x + 2

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  1. x^3 + 3x^2 + 3x + 2

    let f(x) = x^3 + 3x^2 + 3x + 2
    f(1) = 1+3+3+2 ≠ 0
    f(-1) = -1 + 3 - 3 + 2 ≠0
    f(2) = ..... ≠ 0
    f(-2) = -8 + 12 - 6 + 2 = 0 , so x+2 is a factor
    do a long division to get the remaining quadratic factor.

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