Question

the quadratic polynomial whose sum nd product of zeroes are -5 nd 2​

Answer 1

Answer:

Step-by-step explanation:

Given,

Sum of the zeroes of the quadratic polynomial = - 5

Product of the zeroes of the quadratic polynomial = 2

To Find :-

The quadratic polynomial.

Solution :-

Let the zeroes of the quadratic polynomial be :-

$\gamma,\delta$

$\implies \gamma+\delta=-5$

$\gamma\times \delta=2$

We know that form of the quadratic polynomial where α,β are the zeroes is :-

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

$\implies x^2-(-5)x+2$

$x^2+5x+2$

The required quadratic polynomial = x^2 + 5x + 2