# An algebra problem by Sourabh Jangid

Algebra Level 4

If the non-constant function $$f(x) = \dfrac{ax^2 - bx+ c}{dx^2 + ex - c }$$ is a bounded for non-zero constants $$a,b,c,d$$, then which of the following are true?

(A): $$d$$ and $$c$$ have the same signs.
(B): $$d$$ and $$c$$ have opposite signs.
(C): $$bd + ae = 0$$.
(D): $$bd + ae \ne 0$$.

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