Question

Find the quadratic polynomial if the zeros of it are 2 and -1/3

Answer 1

hello users .......

we have given that :
2 , -1 / 3 are the roots of quadratic equation

we have to find that quadratic equation ?

solution:-
here;
we know that : 
For a quadratic equation : ax² + bx + c = 0

sum of roots = - b / a ;
and
product of roots = c / a 

here;
sum of roots 
 = -b / a = - 1 / 3 + 2 
=> -b / a =  5 / 3 
=> b / a = - 5 / 3

and 
product of roots 
= c / a =  - 1 / 3 * 2 =  -2 / 3 

By comparison ;
Here, we get 
a = 3 , b = -5 and c = -2 

Hence;
the required quadratic equation is
    3x² - 5x - 2 = 0 answer