Question

find a quadratic polynomial with sum and product of z
eros are -3and2​

Answer 1

Answer:

x^2 + 3x + 2

Explanation:

Given,

Sum of the zeroes of the quadratic polynomial = - 3

Product of the zeroes of the polynomial = 2

To Find :-

The quadratic Polynomial.

Concept Required :-

If α,β are the zeroes of the quadratic polynomial .

→Then the quadratic polynomial is :-

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

Solution :-

Let the zeroes of the required quadratic polynomial be :- α,β.

→α + β = -3

α × β = 2

The quadratic equation is :-

$\implies x^2-(-3)x+2$

$x^2+3x+2$

The required quadratic equation is :-

$x^2+3x+2$