Suppose we are given two roots, $\displaystyle m_1 = \frac{-1}{2}$ and $\displaystyle m_2 = 3 + i$, of a cubic auxiliary equation which has real coefficients. Determine what the corresponding homogeneous linear Dif EQ is.

WORK:

No idea.

So wouldn't we have Am^3 + Bm^2 + Cm + D = 0, and when we solve that for m we get the two values listed above. Not sure how to do this..