Question

4. Find the quadratic polynomial. Inshore sum and product of zeros
$\sqrt{2 }$
+1and I /
$\sqrt{2}$
+1​

Answer 1

Answer:

The General form of a quadratic polynomial whose Sum of roots and products of roots is given :

x

2

- ( Sum of roots) x + ( Product of roots ) =0

In the above question,

Sum of roots =

2

Product of roots =1/3.

Now, The quadratic polynomial

x

2

−

2

x+1/3=0

3x

2

−3

2

x+1=0

Required polynomial is 3x

2

−3

2

x+1