SOLUTION: Use synthetic division to divide -20x3+93x2-37x-60 divided by 5x+3. Read as negative 20x cubed +93x squared negative 37x negative 60 divided by 5x+3.

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Question 168784This question is from textbook College Algebra: Concepts and Models, Fifth Edition
: Use synthetic division to divide -20x3+93x2-37x-60 divided by 5x+3. Read as negative 20x cubed +93x squared negative 37x negative 60 divided by 5x+3. This question is from textbook College Algebra: Concepts and Models, Fifth Edition

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Use synthetic division to divide -20x3+93x2-37x-60 divided by 5x+3. Read as negative 20x cubed +93x squared negative 37x negative 60 divided by 5x+3.

We first write  as  and since 
is equivalent to an easy decimal value , we'll call it


We'll first of all divide by  by synthetic division,
and then we'll divide the bottom row, not including the remainder,
by the :

So we change the sign of  and write  at the
far left of the synthetic division.

-0.6|-20  93  -37 -60
    |     12  -63  60
     -20 105 -100   0
 
And then divide the bottom row all except the remainder
by the 5:

      -4  21  -20 
   5)-20 105 -100
 
So the answer has degree of 1 less than the 
original equation, so the result is:

   

Edwin

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