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Simplifying P(x) = x4 + 2x3 + -4x2 + -2x + 3 Multiply P * x xP = x4 + 2x3 + -4x2 + -2x + 3 Reorder the terms: xP = 3 + -2x + -4x2 + 2x3 + x4 Solving xP = 3 + -2x + -4x2 + 2x3 + x4 Solving for variable 'x'. Reorder the terms: -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 3 + -2x + -4x2 + 2x3 + x4 + -3 + 2x + 4x2 + -2x3 + -1x4 Reorder the terms: -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 3 + -3 + -2x + 2x + -4x2 + 4x2 + 2x3 + -2x3 + x4 + -1x4 Combine like terms: 3 + -3 = 0 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 0 + -2x + 2x + -4x2 + 4x2 + 2x3 + -2x3 + x4 + -1x4 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = -2x + 2x + -4x2 + 4x2 + 2x3 + -2x3 + x4 + -1x4 Combine like terms: -2x + 2x = 0 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 0 + -4x2 + 4x2 + 2x3 + -2x3 + x4 + -1x4 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = -4x2 + 4x2 + 2x3 + -2x3 + x4 + -1x4 Combine like terms: -4x2 + 4x2 = 0 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 0 + 2x3 + -2x3 + x4 + -1x4 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 2x3 + -2x3 + x4 + -1x4 Combine like terms: 2x3 + -2x3 = 0 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 0 + x4 + -1x4 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -3 + 2x + xP + 4x2 + -2x3 + -1x4 = 0 The solution to this equation could not be determined.
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