Question

if 2 and 0 are the zeros of a polynomial f(x) = 2x³-5x²+ax+b then find the values of a and b

Answer 1

if 2 is zeros of polynomial
f(2)= 2(2)³-5(2)²+2a+b
then also for 0
f(0)= 2(0)³-5(0)²+b
f(0) =b

then ,
b=0
putting in first equation ,
2= 16-20+2a+0
2a =6
a=3