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1 Unit 1: Pure Mathematics A

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Question 76

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]
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1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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