In this demonstration, we attempt to divide the polynomial -2x3+0x2+0x+20 by -2x+4.

0x4

+0x3

=(-2x+4)

x3

0x3

+0x2

=(-2x+4)

x2

0x2

+0x

=(-2x+4)

x

0x

+0

=(-2x+4)

+

0

=
Sum:

0x4

+0x3

+0x2

+0x

+0

=(-2x+4)

(0x3+0x2+0x+0) +0

Target:

-2x3

+0x2

+0x

+20

Dividing both sides of the sum by (-2x+4):

0x4

+0x3

+0x2

+0x

+0

=

(0x3+0x2+0x+0) +

0

-2x+4

-2x+4

Ask yourself:
  1. What do you know about the coefficient of x3?
  2. Would you ever need an x4 term?
  3. In what order did you work out the coefficients?
  4. How are the terms of this sum related to the terms when you do polynomial long division?