# Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 15

$(3x-2)(x^2-2)$

#### Work Step by Step

Regroup to obtain $(3x^3-2x^2)+(-6x+4)$. Factor out $x^2$ in the first group and $-2$ in the second: $x^2(3x-2)+(-2)(3x-2) \\=x^2(3x-2)-2(3x-2).$ Factor out $(3x-2)$ to obtain $(3x-2)(x^2-2)$.

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