Question

If a and b are zeroes of the polynomial x²-5x+6 ,then evaluate a/b+b/a.​

Answer 1

x²-5x+6

=x²-2x-3x+6

=x(x-2)-3(x-2)

=(x-3) (x-2)

therefore zeroes of the polynomial a,b are

a=3 , b=2

Now , a/b + b/a =

3/2 +2/3

=9+4/6

=13/6

Thank you