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1.3 Functions

1.3 Functions

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Question 47

The quadratic expressions x2+px+qx^2 + px + qx2+px+q and x2+rx+sx^2 + rx + sx2+rx+s share a common factor of (x−3)(x - 3)(x−3).

Show that 3(r−p)=q−s3(r - p) = q - s3(r−p)=q−s.

Fully justify your answer.

[5]
Markscheme

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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