Use the the factor theorem to determine wether the first polynomial is a factor of the second. x-3; 2x^2-4x+30

Given the polynomial function 



If (x-3) is a factor of P(x), then

, for some polynomial Q of 1st degree,

Then according to the factor theorem P(3)=0, because P(3)=(3-3)Q(x)=0*Q(3)=0.

Check

≠0

we see that P(3) is not 0, so (x-3) is not a factor of P(x).

no 

The decimal expansion would be .27 repeated