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Simplifying g(x) = x4 + 2x3 + -6x + 4x + -16 Multiply g * x gx = x4 + 2x3 + -6x + 4x + -16 Reorder the terms: gx = -16 + -6x + 4x + 2x3 + x4 Combine like terms: -6x + 4x = -2x gx = -16 + -2x + 2x3 + x4 Solving gx = -16 + -2x + 2x3 + x4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -16x-1 + -2 + 2x2 + x3 Simplifying g = -16x-1 + -2 + 2x2 + x3 Reorder the terms: g = -2 + -16x-1 + 2x2 + x3
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