Question

Find the quadratic polynomial,the sum and product of whose zeroes are -5and 6 respectively

Answer 1

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 !

Answer 2

Answer:

hey guys

Step-by-step explanation:

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

I hope this answer will help u all guys