Question

find the condition so that the zeroes of polynomial ax²+bx+c are reciprocal of each other ​

Answer 1

Answer:

Step-by-step explanation:

It is true that zeros of polynomial are reciprocal to each other at the condition a = c.

To find:

Zeros of polynomial are reciprocal of each other.

Solution:

One zero of the polynomial is reciprocal of the other.

Assume that one of the zero of above polynomial as x, then another zero will be 1/x.

Product of zeroes  

Let us take one polynomial to find that when a = c, zeros are reciprocal.

First zero = x + 2 i.e. x = -2

Second zero = 4x + 2 i.e. 4x = -2 then x = -1/2

Hence, it can be said that a = c, then zeros are reciprocal.