Asked by Emily
                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
            
        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
Answers
                    Answered by
            bobpursley
            
    (x-4)(x+i) = x^2 -4x -4i
    
                    Answered by
            Emily
            
    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?
    
                    Answered by
            bobpursley
            
    yes, of course, I erred. Thanks.  The statement with real coefficents puzzles me.
    
                    Answered by
            Emily
            
    Yeah it confuses me too :( thanks for your help though, I appreciate it! :D
    
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