Skip to content
MathsGenie logo
Open app

Course home

  1. AS Level
  2. Maths WJEC
  3. Question bank

Algebraic Methods

EasyMedium
12345678910111213141516171819202122232425262728293031
Question 20

f(x)=x3−4x2+9x−10f(x) = x^3 - 4x^2 + 9x - 10f(x)=x3−4x2+9x−10

a.

Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).

[2]
b.

Show that f(x)=0f(x) = 0f(x)=0 only has one real root.

[4]

Algebraic Methods Questions

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