Fuentes Bates
07/31/2023 · Middle School

Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation. 9) \( 3 x^{3}-2 x^{2}-32 x-32=0 ;-2 \)

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\(-2\) is a solution of the equation \(3x^3 - 2x^2 - 32x - 32 = 0\). The polynomial can be factored as \((x + 2)(3x^2 - 8x - 16)\), leading to the solutions \(x = -2\), \(x = 4\), and \(x = -\frac{4}{3}\).

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