Enter Numerator

Enter Denominator


Eevaluate the expression below:
9x3 + 4x2 - 6x + 1
x2 + 6

Setup long division format


Step 1
 1a)  Divide 9x3 ÷ x2
9x3 ÷ x2 = 9x(3 - 2) = 9x

 1b) Multiply 1a by the divisor
9x(x2 + 6) = 9x3 + 54x
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 1c)  Subtract 9x3 + 54x
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      9x
x2 + 69x3 + 4x2 - 6x + 1
   9x3   + 54x     
     4x2 - 60x + 1   


Step 2
 2a)  Divide 4x2 ÷ x2
4x2 ÷ x2 = 4x(2 - 2) = 4

 2b) Multiply 2a by the divisor
4(x2 + 6) = 4x2 + 24
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 2c)  Subtract 4x2 + 24
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      9x + 4
x2 + 69x3 + 4x2 - 6x + 1
   9x3   + 54x     
     4x2 - 60x + 1   
     4x2   + 24   
       -60x - 23   


We have a remainder leftover.
Take our answer piece and remainder piece below
Answer = 9x + 4
Remainder piece = Leftover answer ÷ denominator
-60x - 23
x2 + 6