Question

find the quadratic polynomial whose zeroes are 2 and -6​

Answer 1

Let the polynomial be

P(x) = ax^2 + bx + c ,

Sum of zeroes =2

-b/a = 2

Assuming a = 1

- b/1 = 2

b = - 2

Now a = 1 , b= - 2 , c = 1

Product of zeroes = 1

C/a = 1

Assuming a = 1

c/1 = 1

c = 1 .

Hope this helps you !!!