Question

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

Answer 1

Step-by-step explanation:

3x^2+11x-4=0

3x^2+12x-x-4=0

3x(x+4)-1(x+4)=0

(3x-1)(x+4)=0

(3x-1)=0 or (x+4)=0

x=1/3 or. x=(-4)

So; m=1/3,n=(-4)

Now,m/n+n/m

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

= -1/12+(-12)

= -145/12

Answer 2

Answer:

Step-by-step explanation:

3x^2+11x-4=0

3x^2+12x-x-4=0

3x(x+4)-1(x+4)=0

(3x-1)(x+4)=0

(3x-1)=0 or (x+4)=0

x=1/3 or. x=(-4)

So; m=1/3,n=(-4)

Now,m/n+n/m

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

= -1/12+(-12)

= -145/12

therefor the answer is -145/12