Question

If m and n are the Zeros of the polynomial x²+4x+3 , then the value of 1/m+1/n is​

Answer 1

Answer:

-4/3

Step-by-step explanation:

Using splitting the middle term method,

$x^2+4x+3 = 0\\x^2+x+3x+3 = 0 \\x(x+1)+3(x+1)= 0\\(x+1)(x+3)=0\\x = -1, -3$

let m=-1 and n=-3 Then,

$\frac{1}{m} = -1\\\\\frac{1}{n} = -\frac{1}{3}\\\\-\frac{1}3 - 1 =\frac{-1-3}{3}=\frac{-4}{3}$