Question

. Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2

Answer 1

Given ,

Sum of Zeros = 3

and ,

product = -2

therefore required quadratic polynomial is :

x^2 - sum of zeros + product

= x^2 - 3x -2

Answer 2

Formula of a Quadratic Equation:

${x}^{2} - ( \alpha + \beta )x + ( \alpha \beta )$

where alpha is the sum of roots and beta is the product of roots.

Here, alpha = 3

and beta = -2

So the Equation is

${x}^{2} - 3x - 2$