Question

if m and n are zeros of the polynomial 3x²-11x-4 find the value of m/n+n/m

Answer 1

Hi friend!!

Given polynomial,

3x²-11x-4

=3x²-12x+x-4

=3x(x-4)+1(x-4)

=(3x+1)(x-4)

So, -1/3 ,4 are the zeros of the polynomial.

Let m=-1/3,n=4

m/n+n/m

=(-1/3)/4+4/(-1/3)

=(-1/12)-12

=(-1-144)/12

=-145/12

I hope this will help you ;)