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1.3 Functions

1.3 Functions

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Question 19

A company's weekly profit PPP, in thousands of pounds, is modeled by the polynomial P(n)=5n3+kn2+8n−30P(n) = 5n^3 + kn^2 + 8n - 30P(n)=5n3+kn2+8n−30, where n n\,n is the number of units sold (in hundreds) and k k\,k is a constant. A financial analysis reveals that when P(n)P(n)P(n) is divided by (n−2)(n - 2)(n−2), the remainder is 2. Find the value of kkk.

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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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