Question

if m and n are the zero of the polynomial​

Answer 1

Step-by-step explanation:

Here,,a=3, b=11 & c=-4(From the polynomial given)

Using quadratic formula,,

We get,,

$x = \frac{ - 11 \pm \sqrt{11 {}^{2} - 4 \times 3 \times ( - 4)} }{2 \times 3} \\ = \frac{ - 11 \pm\sqrt{121 + 48} }{6} \\ = \frac{ - 11\pm \sqrt{169} }{6} \\ = \frac{ - 11\pm 13}{6} \\ = \frac{ - 11 + 13}{6} or \: \frac{ - 11 - 13}{6} \\ = \frac{1}{3} or \: - 4$

Let the zeroes of the given polynomial be m and n respectively i.e.,

m=1/3 & n =-4

Now,,

$\frac{m}{n} + \frac{n}{m} = \frac{ \frac{1}{3} }{ - 4} + \frac{ - 4}{ \frac{1}{3} } \\ = \frac{1}{ - 12} - 12 \\ = \frac{ - 1}{12 } - 12 \\ = \frac{ - 1 - 144}{12} \\ = \frac{ - 145}{12} ans$

!!!Hope it helps you!!!