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Qiuyun TMUA Simulation Test Paper 1 · Q4

Paper 1Algebra

Consider the polynomial P(x)=x4−6x3+11x2−7x+1P(x)=x^4-6x^3+11x^2-7x+1.

Which of the following statements is correct?

Ax−1x-1 is a factor of P(x)P(x), and the quotient is x3−5x2+6x−1x^3-5x^2+6x-1.
Bx+1x+1 is a factor of P(x)P(x), and the quotient is x3−5x2+4x+1x^3-5x^2+4x+1.
Cx−1x-1 is a factor of P(x)P(x), and the quotient is x3−5x2+6x+1x^3-5x^2+6x+1.
Dx+1x+1 is a factor of P(x)P(x), and the quotient is x3−5x2+6x−1x^3-5x^2+6x-1.
ENone of the above is correct.

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