Question

If m and n are the zeroes of the polynomial
$3 {x}^{2} + 11x - 4$
find the value of
$\frac{m}{n} + \frac{n}{m}$
​

Answer 1

Answer:

2

Step-by-step explanation:

Given, m and n are zeroes of the polynomial

p(x)= 3x^2 +11x+4

x = m (given)

p(m)= 3m^2 +11m +4

= 3m^2 +12m-m+4

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

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

so, will will come

• 3m-1= 3m=1

m= 1/3

• m+4= m=-4

then if we replace n in place of x then values of n are also same so here,,,

m/n+n/m

1/3/1/3+ -4/-4

1+1= 2

so the value of m/n+n/m is 2

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