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Simplifying P(x) = x4 + 9x3 + 23x2 + 8x + -16 Multiply P * x xP = x4 + 9x3 + 23x2 + 8x + -16 Reorder the terms: xP = -16 + 8x + 23x2 + 9x3 + x4 Solving xP = -16 + 8x + 23x2 + 9x3 + x4 Solving for variable 'x'. Reorder the terms: 16 + -8x + xP + -23x2 + -9x3 + -1x4 = -16 + 8x + 23x2 + 9x3 + x4 + 16 + -8x + -23x2 + -9x3 + -1x4 Reorder the terms: 16 + -8x + xP + -23x2 + -9x3 + -1x4 = -16 + 16 + 8x + -8x + 23x2 + -23x2 + 9x3 + -9x3 + x4 + -1x4 Combine like terms: -16 + 16 = 0 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 0 + 8x + -8x + 23x2 + -23x2 + 9x3 + -9x3 + x4 + -1x4 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 8x + -8x + 23x2 + -23x2 + 9x3 + -9x3 + x4 + -1x4 Combine like terms: 8x + -8x = 0 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 0 + 23x2 + -23x2 + 9x3 + -9x3 + x4 + -1x4 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 23x2 + -23x2 + 9x3 + -9x3 + x4 + -1x4 Combine like terms: 23x2 + -23x2 = 0 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 0 + 9x3 + -9x3 + x4 + -1x4 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 9x3 + -9x3 + x4 + -1x4 Combine like terms: 9x3 + -9x3 = 0 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 0 + x4 + -1x4 16 + -8x + xP + -23x2 + -9x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 16 + -8x + xP + -23x2 + -9x3 + -1x4 = 0 The solution to this equation could not be determined.
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