Question

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

Answer 1

`y-2" is not a factor"`

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"`