Question

If and are zeros of the polynomial 3² + 5 + 2, find the value of 1 + 1 and ² + ²

Answer 1

Answer:

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