#### Question

Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.

#### Solution

As we know that the quadratic polynomial

f(x) = k [x^{2} - (sum of their roots) x+(product of their roots)]

According to question,

(sum of their roots)`= 2sqrt3`

And (product of their roots) = 2

Thus putting the value in above,

`f (x) = k [x^2 - 2sqrt3x + 2 ]` where *k* is real number.

Therefore, the quadratic polynomial be

`f(x) = k [x^2 - 2sqrt3x + 2]`

Is there an error in this question or solution?

#### APPEARS IN

Solution Write a Quadratic Polynomial, Sum of Whose Zeros is 2 √ 3 and Their Product is 2. Concept: Situational Problems Based on Quadratic Equations Related to Day to Day Activities to Be Incorporated.