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Pearson Edexcel IAL Mathematics P2.2 Algebra & functions Question Bank

Practise using polynomial division, remainders and factors to find constants, quotient forms and fully factorised expressions.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
AS

Exam points

  • apply the remainder theorem to build equations for unknown coefficients in f(x)
  • divide by a linear factor to find Q(x) and the constant remainder

Covered syllabus points

P2.2.1 - Simple algebraic division

P2.2 - Algebra and functions question 1

[Maximum number: 2]

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

f(z)=4z3+pz2−24z+108\mathrm{f}(z)=4 z^{3}+p z^{2}-24 z+108

where p is a constant.
Given that -3 is a root of the equation f(z)=0

determine the value of p

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