Question

The sum and product of the zeros of a quadratic polynomial are 2 and -15 respectively.the quadratic polynomial is

Answer 1

$x { }^{2} - 2x - 15$
this is the answer

Answer 2

The sum of the quadratic polynomial is 2 means

Alfa + Beta = 2

And,

The product is -15 Means

Alfa * Beta = -15

Now,

Quadratic Polynomial = x^2 - (Alfa + Beta)x + Alfa * Beta

=> Quadratic Polynomial = x^2 - 2x + (-15)

=> Quadratic Polynomial = x^2 -2x - 15....