Let f(x) be a quadratic polynomial satisfying f(2) + f(4) = 0.
If unity is one root of f(x) = 0 then find the other root.

Explanation

To solve the problem, we need to find the other root of the quadratic polynomial \( f(x) \) given that one root is unity (1) and that \( f(2) + f(4) = 0 \).

### Step-by-Step Solution:

1. **Formulate the Polynomial**:
Since one root of the polynomial \( f(x) = 0 \) is 1, we can express the quadratic polynomial in the form:
\[
f(x) = a(x - 1)(x - r)
...