Question

find a quadratic polynomial the sum and the product of zeros are -1/2 and -3 respectively ​

Answer 1

Answer:

heya mate there's your answer

The general form of quadratic equation is

x^2-(sum of roots)x+(product of the roots)=0

according to the given conditions,

x^2-(-1/2)x+(-3)=0

x^2+x/2-3=0

2x^2+x-6=0 is the required equation.

hope it helps you

Thank you

Answer 2

Answer:

$x^{2} -x(\alpha+\beta)+\alpha \beta =0\\x^{2} +x*\frac{1}{2}+3=0\\x^{2} +\frac{x}{2} -3=0\\2x^{2} +x-6=0$