SOLUTION: find c so that the polynomial will be the square of a bynomial cy2+6y+1 justify your answer

Question 268873: find c so that the polynomial will be the square of a bynomial cy2+6y+1 justify your answer
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!
find c so that the polynomial will be the square of a bynomial cy2+6y+1 justify your answer.


Assume A and B are such that







To make that an identity we equate like terms on both sides:



simplify



Solving the last equation 

,





Setting first factor = 0




Setting second factor = 0




Substituting  in the equation







Substituting that in







So



becomes



If you use , you end up with



Either way, 

Edwin

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