Question

If x=2 and x=o are the roots of polynomial f(x) 2x^3-5x^2+ax+b, find the values of a and b.

Answer 1

Put x=0 in polynomial 2(0)-5(0)+a(0)+b=0 b=0--------(1) put x=2 2(2)^3-5(2)^2+a(2)+b =0 ( put b=0 in equation) 16-20+2a=0 a=4/2=2 a=2 and b=0