# How do you use the factor theorem to determine whether x-2 is a factor of #4x^3 – 3x^2 – 8x + 4#?

##### 2 Answers

Jun 8, 2018

see below

#### Explanation:

the factor theorem states

however by the remainder theorem when

the factor theorem being a special case of the remainder theorem

Jun 8, 2018

#### Explanation:

#"if "x-2" is a factor then "f(2)=0#

#4(2)^3-3(2)^2-8(2)+4=8#

#"hence "x-2" is not a factor of "4x^3-3x^2-8x+4#