document.write( "Question 674236: Find a quadratic equation with roots -1+4i and -1-4i \n" ); document.write( "
Algebra.Com's Answer #419106 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
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document.write( "Hi,
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document.write( "The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0
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document.write( "roots -1+4i and -1-4i
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document.write( "f(x) = a(x-(-1+4i))(x -(-1-4i)) = a(x^2 -2x +17)
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document.write( " a = 1
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document.write( "f(x) = x^2 -2x +17
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document.write( "Check product \"%28x-%28-1%2B4i%29%29%28x+-%28-1-4i%29%29\" Using FOIL
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document.write( "F	First terms
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document.write( "O	Outside terms
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document.write( "I	Inside terms
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document.write( "L	Last terms
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