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1.1 Algebra and functions

1.1 Algebra and functions

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Question 165

A polynomial function is defined as

f(x)=x4+ax3+2x2+bx−6 f(x) = x^4 + ax^3 + 2x^2 + bx - 6 f(x)=x4+ax3+2x2+bx−6

where aaa and bbb are constants.

a.

When f(x)f(x)f(x) is divided by (x−1)(x - 1)(x−1), the remainder is −10-10−10. Show that a+b=−7a + b = -7a+b=−7.

[2]
b.

When f(x)f(x)f(x) is divided by (x+2)(x + 2)(x+2), the remainder is 222. Find the value of aaa and the value of bbb.

[4]
Markscheme

1.1 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1 Algebra and functions

306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

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