Question

If 2 and -1/2 are the sum and product of its zeros respectively, then find the quadratic equations
polynomial​

Answer 1

Answer:

Given,

Sum of zeroes=2(a+b)

product of zeroes=-1/2(ab)

#Quadratic equation=k[x^2-(a+b)x+ab]

=k[x^2-(2)x+-1/2]

=k[x^2-2x-1/2]

=k[x^2/1-2x/1-1/2]

=k[2x^2-4x-1/2]

Let k=2

=2[2x^2-4x-1/2]

=2x^2-4x-1

Therefore,

Quadratic polynomial=2x^2-4x-1

Hope it helps u ☺️.