Algebraic Methods

EasyMediumHard
12345678910111213141516171819202122232425262728293031
Question 3
Medium88%

f(x)=x3+6x2+px+qf(x) = x^3 + 6x^2 + px + qf(x)=x3+6x2+px+q

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

[4]
b.

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

[4]

Algebraic Methods Questions

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