Question

if the sum and product of zeroes of a polynomial are -2,3 respectively,then the polynomial is​

Answer 1

Answer:

The Correct Answer is mentioned below

Step-by-step explanation:

Sum of roots = $\frac{-b}{a} = \alpha + \beta$ = -2

Product of roots = $\frac{c}{a} = \alpha \beta$ = 3

The Equation is: $x^{2} - (\alpha +\beta )x + \alpha \beta = 0$

$x^{2} - (-2)x + 3 = 0$

$x^{2} + 2x + 3 = 0$

Answer 2

Answer:

The answer is $x^2+2x+3$

Step-by-step explanation:

Concept: A polynomial with sum and product of zeroes known is given by

                      $x^2-(\text{sum of zeroes})x+\text{product of zeroes}$

Here sum of zeroes $=-2$ and product of zeroes $=3$

Hence the polynomial is $x^2-(-2)x+3=x^2+2x+3$