Question

find the quadratic polynomial and sum of roots if products of roots are given (1,-1)

Answer 1

Let the two roots of the polynomial be a and b

It is given that. a+ b = 1
and a × b = -1


General formula for the quadratic polynomial when it's two root is given as -----

X^2 - ( a + b )X + a × b

By putting the value of a and b in above equation we get

X^2 - ( 1 )X + (-1 )
= X^2 -X -1

Hence, X^2 -X -1 is the required polynomial.
.
.
.
.
.
.
.
Ask if there is any problem.

Answer 2

Heya !!



Sum of zeroes = 1

Product of zeroes = -1




Therefore,



Required quadratic polynomial = X²-(Sum of zeroes)X + product of zeroes



=> X² - (1)X - 1



=> X² - X - 1



★ HOPE IT WILL HELP YOU ★