Question

If 0 and 1 are the zeroes of the polynomial f(x) = 2x^3 - 3x^2 + ax + b, find the values of a and b.

Answer 1

f(0) = b = 0 ---(i)

f(1) = 2 - 3 + a + b = 0

= a + b - 1 = 0

= a - 1 = 0 ( from i, b= 0)

= a = 1

Therefore, a=1 and b = 0