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1.1 Proof

1.1 Proof

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Question 22

The cubic polynomial 6x3+kx2+25x−126x^3 + kx^2 + 25x - 126x3+kx2+25x−12 is denoted by f(x)f(x)f(x), where k k\,k is a constant.

It is given that (2x+3)(2x + 3)(2x+3) is a factor of f(x)f(x)f(x).

a.

Use the factor theorem to show that k=31k = 31k=31.

[2]
b.

Using this value of kkk, factorise f(x)f(x)f(x) completely.

[3]
Markscheme

1.1 Proof Questions

  1. A Level
  2. /Maths
  3. /1.1 Proof

132 exam-style questions on OCR (MEI) A Level Maths 1.1 Proof, covering 1.1.1 Structure of mathematical proof, 1.1.2 Disproof by counter example, 1.1.3 Proof by contradiction (A-level only), and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.

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