Write the polynomial as a product of linear factors (in completely factored form) given x + 2 is a factor.

p(x) = 3x^4 + 4x^3 - x^2 + 4x - 4

please help me =,(

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  1. Use either long algebraic division or synthetic divsion by x+2 to show
    3x^4 + 4x^3 - x^2 + 4x - 4
    = (x+2)(3x^3 - 2x^2 + 3x - 2)
    = (x+2)(x^2(3x - 2) + (3x-2)) , grouping
    =(x+2)(3x-2)(x^2 + 1)

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