Question 72093
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{{{f(x) = x^3 -4x^2 +5x +5}}} divided by p(x) = x-1

Remember basic arithmetic:  Dividend = Divisor  x Quotient + Remainder
    
  If we apply this to synthetic division, we get the following result:

Use Synthetic Division to divide polynomials: 


   <u>1|</u>      1   -4    5   5 
                1   -3   2  
            ______________
            1   -3   2  7

   Quotient           Reminder
  {{{x^2 - 3x + 2}}}             7

The correct form of the answer synthetic division is 
    {{{x^2 - 3x + 2 + 7/(x-1)}}}


Or you can use long method of dividing: 

                  x^2 - 3x + 2
            _____________________
     x - 1  /x^3 -4x^2 +5x +5 
             <u>x^3 - x^2</u>
                 -3x^2 + 5x
                 <u>-3x^2 + 3x </u>
                         2x + 5
                         <u>2x - 2</u> 
                             7  --------->Reminder
   
The correct form of the answer using the long dividion is 
    {{{x^2 - 3x + 2 + 7/(x-1)}}}