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1.2.10 Manipulating polynomials

1.2.10 Manipulating polynomials

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Question 4

The polynomial P P\,P is defined by P(x)=x4+kx3+2x2+x−6P(x)=x^4+kx^3+2x^2+x-6P(x)=x4+kx3+2x2+x−6, where k k\,k is a constant. It is given that (x−1)(x-1)(x−1) is a factor of P(x)P(x)P(x).

a.

Find the value of kkk.

[2]
b.

Using this value of kkk, express P(x)P(x)P(x) as a product of two linear factors and an irreducible quadratic factor.

[3]
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1.2.10 Manipulating polynomials Questions

  1. A Level
  2. /Maths
  3. /1.2.10 Manipulating polynomials

72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.

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