Question

The zeros of a polynomial are sum and product of zeroes
of the polynomial x^2+5x +6 ,find the polynomial​

Answer 1

sum of roots is = -b/a (cofficient of x^2/coffiecient of x)

sum of roots = -5/1

product of roots = -6/1

so,

the equation which we are finding is

k(x^2-(sum of roots)x+product of roots)  {formula for finding any equation } (1)

let roots of this eqn be Q and E , but it is given that Q=-5/1,E=-6/1

so sum of  roots is Q+E , -5/1+(-6/1) = -11 ------(2)

and product of roots is Q x E , -5/1 x -6/1 = 30 --------(3)

putting values of (3) and (2)  in (1) we get

k(x^2-(-11)x+30)

hence the equation is

k(x^2 + 11x +30