Question

Find the polynomial whose roots are 3 and -2

Answer 1

roots are 3 and -2

let the polynomial be ax**2+ bx + c.

we know that the sum of the roots of a polynomial is equal to coefficient of x / coefficient of x**2 = 3+(-2) = 1

3 +(-2) =1 =b /a

also product of roots of a polynomial is equal to the

constant term/ coefficient of x**2

=> 3*(-2) =-6 = c/a

wear coefficient of x equal to b and constant term is c and also cofficient of x square equal to a .

now we get , a = 1

b = 1

&c =(-6)

does the required polynomial is x**2 +x -6

really hope that it will help you!

thanks!