Answer: D — more than 3
A quadratic polynomial with zeroes −5 and −3 is of the form $k(x+5)(x+3)$, i.e., $k(x^2+8x+15)$, where $k$ is any non-zero real constant. Since $k$ can take infinitely many values, more than 3 such polynomials exist.
Source: Chapter 2, Section 2.3
The key idea is that fixing the zeroes fixes only the ratio of coefficients, not the polynomial uniquely. Any scalar multiple $k \neq 0$ gives a different polynomial with the same zeroes. Examiners expect students to recall the form $k(x-\alpha)(x-\beta)$ and conclude that infinitely many (more than 3) such polynomials are possible.