Question

Given that x-√5 is a factor of x3-3√5 x 2-5x+15√5 find all the zeros of the polynomial

Answer 1

p(x)=x^3-3√5x^2-5x+15√5

g(x)=x-√5

the zero of the polynomial of x-√5 is 0

x-√5=0

x=√5

p(√5)=(√5)^3-3√5(√5)^2-5(√5)+15√5

=25√5-75√5-5√5+15√5

= -40√5