Question

If 1 is a zero of the polynomial and then find the value of ax^2 +ax+3 and x^2+x+b, then find the value of ab

Answer 1

Given,

f(x)= 2x

3

− 3x

2

+ ax+ b

Roots

x=

0,1

f(0)= 0⇒ 2(0)

3

− 3(0)

2

+ a(0)+ b= 0⇒ b= 0

f(1)= 0⇒ 2(1)

3

− 3(1)

2

+ a(1)+ 0= 0⇒ −1+ a= 0⇒ a= 1

∴ a= 1,b= 0