Algebraic Methods

EasyMediumHard
12345678910111213141516171819202122232425262728293031
Question 4
Medium40%

f(x)=2x3−x2−13x+14f(x) = 2x^3 - x^2 - 13x + 14f(x)=2x3−x2−13x+14

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.

Hence, or otherwise, solve the equation 2x3−x2−13x+14=02x^3 - x^2 - 13x + 14 = 02x3−x2−13x+14=0 giving your answers to 2 decimal places where appropriate

[5]

Algebraic Methods Questions

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