Question

The quadratic polynomial whose sum and product of the zeros are -2 and -15 respectively is​

Answer 1

Answer:

Step-by-step explanation:

Given,

Sum of roots of the quadratic equation = - 2

Product of roots of the quadratic equation = - 15

To Find :-

Quadratic Equation.

Solution :-

Let us consider the two roots of the quadratic equation as :- $\alpha ,\beta$

$\implies \alpha +\beta = - 2$

$\alpha \times\beta = -15$

The form of the quadratic equation with roots is :-

$x^2 - (\alpha + \beta)x + (\alpha \times\beta ) = 0$

$\implies x^2-(-2)x+(-15)=0$

$x^2 + 2x - 15 = 0$

Hence the quadratic equation is :-

$x^2 + 2x - 15 = 0$

Answer 2

Answer:

Step-by-step explanation: