Question

find a quadratic polynomial whose sum and product of its zeroes are -3 and 2​

Answer 1

Hi!

Here is the answer for your question mate:

General form of a quadratic equation:

x² - (α+β)x + (αβ)=0

Where α and β are the roots of the equation.

x² - (2-3)x + (-6)

x^2+ x -6

Hope it helps

Answer 2

let alpha=a and beta=b.

(a+b)=-3,(ab=2).

So a quadratic polynomial =x^2-(a+b)x+(ab).

=x^2-(-3)x+(2)

=x^2+3x+2.

Hence a quadratic polynomial =x^2+3x+2