Question 168784
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. 
<pre><font size = 4 color = "indigo"><b>
We first write {{{5x+3}}} as {{{5(x+3/5)}}} and since {{{3/5}}}
is equivalent to an easy decimal value {{{0.6}}}, we'll call it
{{{5(x+0.6)}}}

We'll first of all divide by {{{x+0.6}}} 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
    |<u>     12  -63  60</u>
     -20 105 -100   0
 
And then divide the bottom row all except the remainder
by the 5:

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

   {{{-4x^2 + 21x - 20}}}

Edwin</pre>