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.

Algebra ->  Polynomials-and-rational-expressions -> 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.       Log On


   



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) About Me  (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 5x%2B3 as 5%28x%2B3%2F5%29 and since 3%2F5
is equivalent to an easy decimal value 0.6, we'll call it
5%28x%2B0.6%29

We'll first of all divide by x%2B0.6 by synthetic division,
and then we'll divide the bottom row, not including the remainder,
by the 5:

So we change the sign of 0.6 and write -0.6 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:

   -4x%5E2+%2B+21x+-+20

Edwin