Find a thrid degree polynomial equation with rational coeffcients that has roots -4 and 6 +i

For the coefficients to be rational, any complex roots must occur in conjugate pairs. So if is a root, then so must be .

Now such a third degree polynomial might be



The only variation to this would be multiplying throughout by some non-zero constant. This doesn't change the roots.

9.8? i'm not really sure

i believe it's a.

i'm not sure on this one, most likely correct.

good luck!