1. Section 5.3(c)
Synthetic Division

2. or, using synthetic division: Set-up
Just watch: Divide:
16t
+ 122
or, using synthetic division:
Set-up 3
Coefficients
Divisor
+48
+366
(t - 3) 16
+122
+371
“r” = 3
16•3 = 48
122•3 = 366

3. 9.) Divide: x4 + x3 - 13x2 - 25x - 12 ÷ (x - 4)
Note: No remainder means
the factor divides exactly

4. 10.) Divide:

5. 11.) Divide:

6. 12.) Dividing by a fraction: (8x3 - 1) ÷ (2x - 1)
Put the divisor in the form (x - r)
(1x - r)
Divide by 2
But…..divide everything by 2
(4x3 - 1/2) ÷ (x - 1/2)

7. 12.) (cont.) From last page: (4x3 - 1/2) ÷ (x - 1/2) Don’t forget the
place holders /2

8. 12.) (cont.) Check If: (8x3 - 1) ÷ (2x - 1) = ( 4x2 + 2x + 1)
From last page:
Check
If: (8x3 - 1) ÷ (2x - 1) = ( 4x2 + 2x + 1)
Then: (8x3 - 1) = ( 4x2 + 2x + 1)•(2x -1 )
(4x2 + 2x + 1)•(2x - 1) =
8x3 + 4x2 + 2x - 4x2 - 2x - 1
= 8x3 - 1

9. Homework
Page 271
Problems: 33 – 42 all