Question

find a quadratic polynomial, the sum and produt of whose zeroes are 5 and 6 respectively.

Answer 1

Step-by-step explanation:

Hi !

Let the zeroes be α and β 

Then α + β = - 5 and  αβ = 6

The quadratic polynomial whose sum and product of the zeroes are given is given by :

x² - (α+β)x + αβ 

⇒ Then the quadratic polynomial will be :

⇒ x² - (-5)x + 6 

⇒ x² + 5x + 6 

This is your answer.

Hope this Helps !