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Simplifying P(x) = x4 + -2x3 + 4x2 + -8x + 16 Multiply P * x xP = x4 + -2x3 + 4x2 + -8x + 16 Reorder the terms: xP = 16 + -8x + 4x2 + -2x3 + x4 Solving xP = 16 + -8x + 4x2 + -2x3 + x4 Solving for variable 'x'. Reorder the terms: -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 16 + -8x + 4x2 + -2x3 + x4 + -16 + 8x + -4x2 + 2x3 + -1x4 Reorder the terms: -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 16 + -16 + -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: 16 + -16 = 0 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = -8x + 8x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: -8x + 8x = 0 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: 4x2 + -4x2 = 0 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4 Combine like terms: -2x3 + 2x3 = 0 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 + x4 + -1x4 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -16 + 8x + xP + -4x2 + 2x3 + -1x4 = 0 The solution to this equation could not be determined.
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