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Simplifying g(x) = x4 + 2x3 + 2x + -1 Multiply g * x gx = x4 + 2x3 + 2x + -1 Reorder the terms: gx = -1 + 2x + 2x3 + x4 Solving gx = -1 + 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 = -1x-1 + 2 + 2x2 + x3 Simplifying g = -1x-1 + 2 + 2x2 + x3 Reorder the terms: g = 2 + -1x-1 + 2x2 + x3
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