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solve 4x^2-6x+3/x-3

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1 Answer

 
         4x + 6          
x-3 | 4x2 - 6x + 3
     - (4x2 -12x)
                 6x + 3
               -(6x -18)
                       21
 
Remainder is 21.
 
(4x2 -6x + 3) / (x-3) = 4x + 6 + (21/(x-3))
 
 
Check:
x = 5
 
(4(5)2 -6(5) + 3)   / 5-3
 
(4(25)-30+3) / 2
 
73/2 = 36 1/2
 
 
4(5) + 6  + (21/5-3)
 
20 + 6 + 21/2
 
20 + 6 + 10 1/2
 
36 1/2 ... check.