Skip to content

Course home

Sign up

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157
Question 8

f(x)=x3+5x2+px+qf(x) = x^3 + 5x^2 + px + qf(x)=x3+5x2+px+q

Given that f(3)=0f(3) = 0f(3)=0 and f(−4)=28f(-4) = 28f(−4)=28

a.

Find the values of p p\,p and qqq

[4]
b.

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

[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank