Question

Check whether the polynomial p(s)=3s^3+s^2-20s+12 is a multiple of 3s-2.​

Answer 1

f(s)=3s-2

=>0=3s-2

s=2/3

put s=2/3 in p(s)

=> p(2/3)=3(2/3)^3+(2/3)^2-20(2/3)+12

=3×8/27+4/9-40/3+12

=24/27+4/9-40/3+12

=0

hence, p(s) is a multiple of 3s-2

hope it helps you...