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Find the value of c that makes each trinomial a perfect square.  Then write the trinomial as a perfect square.

 



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a.


6; ( x - 3) 2


c.


9; ( x - 3)


b.


12; ( x - 9) 2


d.


36; ( x - 6) 2


 Dec 11, 2014

Best Answer 

 #1
avatar+23254 
+5

x² - 12x + c

To find the value of c:

-- since the coefficient of the squared term is 1,

      --  divide the coefficient of the linear term by 2     ( -12 ÷ 2  =  6 )

      --  square this answer                                         ( 6²  =  36 )

So, the value of c is 36

And,  x² - 12x + 36, when factored, is:  (x - 6)²

 Dec 11, 2014
 #1
avatar+23254 
+5
Best Answer

x² - 12x + c

To find the value of c:

-- since the coefficient of the squared term is 1,

      --  divide the coefficient of the linear term by 2     ( -12 ÷ 2  =  6 )

      --  square this answer                                         ( 6²  =  36 )

So, the value of c is 36

And,  x² - 12x + 36, when factored, is:  (x - 6)²

geno3141 Dec 11, 2014

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