Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial \(f(x) = ax^2 + bx + c\), \(a ≠ 0, c ≠ 0\).
 
The required quadratic polynomial:
Answer variants:
\(cx^2-bx-a\)
\(bx^2-bx+a\)
\(cx^2+bx+a\)
\(bx^2-bx-a\)