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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 22

It is given that f(x)=x3+6x2+px+qf(x) = x^3 + 6x^2 + px + qf(x)=x3+6x2+px+q where p p\,p and q q\,q are constants.

It is also given that f(4)=0f(4) = 0f(4)=0 and f(−5)=36f(-5) = 36f(−5)=36.

a.

Find the values of p p\,p and qqq.

[3]
b.

Factorise f(x)f(x)f(x) completely.

[4]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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