1957 AHSME Problem 2

In the equation 2x^2 - hx + 2k = 0, the sum of the roots is 4 and the product of the roots is -3. Then h and k have the values, respectively:

\textbf{(A)}\ 8\text{ and }{-6} \qquad \textbf{(B)}\ 4\text{ and }{-3}\qquad \textbf{(C)}\ {-3}\text{ and }4\qquad \textbf{(D)}\ {-3}\text{ and }8\qquad \textbf{(E)}\ 8\text{ and }{-3}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.