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