# How do you use the factor theorem to determine whether y-2 is a factor of #-4y^3 + 3y^2 – 2y + 1#?

##### 1 Answer

May 6, 2018

#### Explanation:

#"by the factor theorem for a polynomial "f(x)#

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

#"evaluate for "y=2#

#rArr-4(2)^3+3(2)^2-2(2)+1#

#=-32+12-4+1=-23!=0#

#rArry-2" is not a factor of the polynomial"#