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Write the simplest polynomial equation with real coefficients having roots -i and 4.

I have noooooo idea how to even start this one :( I thought you could start backwards with synthetic substitution but it didn't work. Any help on this is greatly appreciated!! :D

4 answers

(x-4)(x+i) = x^2 -4x -4i
I know i isn't considered a real coefficient, but when you multiply it out shouldn't there be an ix as you're working it out?
yes, of course, I erred. Thanks. The statement with real coefficents puzzles me.
Yeah it confuses me too :( thanks for your help though, I appreciate it! :D
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