Question

Using remainder theorem state weather (2y-5) is a factor of (4y 4 -10y 3 -10y 2 ​ +30y-15).

Answer 1

g(x)=2y-5
2y-5=0
y=5/2
p(5/2)=4*(5/2)^4-10*(5/2)^3-10*(5/2)-15
=4*625/16-10*125/8-10*5/2-15
=625/4-625/4-25-15
=40
therefore 2y-5 is not a factor