Synthetic Division Reminder!

A few examples of how it is done…

(1x4 – 4x3 – 7x2 + 34x – 24) ÷ (x + 3)

-3 1 -4 -7 34 -24

-3 21 -42 24

1 -7 14 -8

So, the answer would be 1x3 – 7x2 + 14x – 8

(2x5 – 14x3 + 24x) ÷ (x – 3)

So, let’s rewrite it with those in there.

(2x5 + 0x4 – 14x3 + 0x2 + 24x + 0) ÷ (x – 3)

Now we can do the work.

3 2 0 -14 0 24 0

6 18 12 36 180

2 6 4 12 60 180

So, the answer would be 2x4 + 6x3 + 4x2 + 12x + 60 +

Polynomial Division Reminder!

A few examples of how it is done…

Name______Date______

Divide the following using both methods of Polynomial Division and Synthetic Substitution:

Polynomial Division / Synthetic Substitution
1.  (x3 – 7x – 6) ÷ (x – 2) / (x3 – 7x – 6) ÷ (x – 2)
2.  (4x2 + 5x + 8) ÷ (x + 1) / (4x2 + 5x + 8) ÷ (x + 1)
3.  (x3 – 14x + 8) ÷ (x + 4) / (x3 – 14x + 8) ÷ (x + 4)
4.  (x2 + 10) ÷ (x + 4) / (x2 + 10) ÷ (x + 4)

Divide the following using the method that you prefer! (Polynomial Division or Synthetic Substitution)

5.  (10x4 + 5x3 + 4x2 – 9) ÷ (x + 1) / 6.  (x3 + 8x2 – 3x + 16) ÷ (x + 5)
7.  (2x4 – 6x3 + x2 – 3x – 3) ÷ (x – 3) / 8.  (x4 – 6x3 – 40x + 33) ÷ (x – 7)
9.  (4x4 + 5x3 + 2x2 – 1) ÷ (x + 1) / 10. (-10x5 + 3x – 7) ÷ (x – 1)