# How do you use the factor theorem to determine whether y-2 is a factor of #3y^4 – 6y^3 – 5y + 10#?

##### 1 Answer

May 14, 2018

#### Explanation:

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

#f(2)=3(2)^4-6(2)^3-5(2)+10#

#color(white)(f(2))=48-48-10+10=0#

#rArr(y-2)" is a factor of the polynomial"#