Question 4 - A-Level Maths

Exam Board	Edexcel
Module	AS Paper 1 (AS Paper 1)
Session	Specimen
Topic	Factor & Remainder Theorem
Type	Prove root count with given polynomial

4. $$f ( x ) = 4 x ^ { 3 } - 12 x ^ { 2 } + 2 x - 6$$

Use the factor theorem to show that $( x - 3 )$ is a factor of $\mathrm { f } ( x )$.
Hence show that 3 is the only real root of the equation $\mathrm { f } ( x ) = 0$