Asked by Luke
                Please faCtor. Thank you for your help.
a^2 + 4a + 21
            
        a^2 + 4a + 21
Answers
                    Answered by
            Damon
            
    typo I think, not negative 21?
    
                    Answered by
            Luke
            
    NO it's postive 21
    
                    Answered by
            Damon
            
    Sorry, all you can do is use complex roots then.
Look for the roots of a^2 + 4 a + 21 = 0
a = [-4 +/- sqrt (16-84)]/2
a = [-4 +/- sqrt (-68) ]/2
a = [-2 +/- 2 i sqrt_17 ] / 2
a = -1 + i sqrt 17 or a = -1 + i sqrt 17
so
(a + 1 + i sqrt 17)(a + 1 - i sqrt 17)
    
Look for the roots of a^2 + 4 a + 21 = 0
a = [-4 +/- sqrt (16-84)]/2
a = [-4 +/- sqrt (-68) ]/2
a = [-2 +/- 2 i sqrt_17 ] / 2
a = -1 + i sqrt 17 or a = -1 + i sqrt 17
so
(a + 1 + i sqrt 17)(a + 1 - i sqrt 17)
                    Answered by
            Luke
            
    Would the answer be no souliton?
    
                    Answered by
            Damon
            
    There is no real number solution.
    
                    Answered by
            Luke
            
    Thank you for your help.
    
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