For the polynomial below, -2 is a zero.
g(x)= x^3 - 2x^2 - 9x - 2
Express g(x) as a product of linear factors.
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since -2 is a zero
x^3 - 2x^2 - 9x - 2 = (x+2)(x^2 -4x-1)
x^2 -4x-1 has 2+sqrt and 2-sqrt as zeros
so x^2 -4x-1 = (x-2+sqrt) (x-2-sqrt)
Hence, x^3 - 2x^2 - 9x - 2 = (x+2)(x-2+sqrt)(x-2-sqrt)
-2, 2+sqrt and 2-sqrt are the zeros of x^3 - 2x^2 - 9x - 2
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