
Sec. 3.4 (Synthetic Division) - Alg 2 Diff
Presentation
•
Mathematics
•
10th - 12th Grade
•
Medium
Standards-aligned
Sarah Harms
Used 6+ times
FREE Resource
14 Slides • 15 Questions
1
Sec. 3.4:
Synthetic
Division
2
Materials Needed:
1) Chapter 3 Note Packet (begin on p. 6)
2) Pencil and Calculator
3
Before beginning the lesson, please write down one thing you are thankful for in the margin of your notes. Thank you!
4
Please watch the 9-minute video on the next slide and complete the notes in your note packet as you watch.
5
6
Please complete the following problems. Use another sheet of paper to show your work.
7
Multiple Choice
Divide using synthetic division:
(3x3 - 2x2 - 7x + 6) ÷ (x + 1)
8
Multiple Choice
9
Multiple Choice
What is the proper way to write the answer for the following problem?
2x3-x2-25x+12
2x4-x3-25x2-12x+0
2x3-x2-25x-12
2x4-x3-25x2-12x-0
10
Multiple Choice
Cam divided (x4 + 3x2 - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?
Cam wrote the remainder incorrectly.
Cam did not use a zero place holder for the x3 term.
Cam added instead of subtracting the rows.
Cam should have used -2 as his division since the factor was x-2.
11
Multiple Choice
Was this problem done correctly?
Yes
No
12
Multiple Choice
What is the next step in synthetic division?
Add the -48 to the 54
Multiply the 54 and 6
Divide the 54 by 6
Bring down the -58
13
Multiple Choice
What is the next step in synthetic division?
Multiply the 9 and 6
Add the 9 and 6
Bring down the -48
14
Multiple Choice
What is the remainder when x4 - 5 is divided by x + 3?
76
81
7
15
Multiple Choice
(2x³ + 4x² - 5) by (x + 3).
16
Please watch the 4-minute video on the next slide and complete the notes in your note packet as you watch.
17
18
If you would like to see another example when the coefficient of the divisor is not a 1, see the video on the next slide. Otherwise, skip that slide.
19
20
Please complete the following problems. Use another sheet of paper to show your work.
21
Multiple Choice
Divide using synthetic division:
(2x2+6x−20)÷(2x−4)
x+5+2x−42
x−8
x−5+2x−43
x+5
22
Multiple Choice
Divide using synthetic division
(the optional video clip will help with this problem)
(4x4−3x3−4x2−x+3) ÷ (4x−3)
x3+x2+x−1
x3−x−1
x3−2x−1
x3−x2+x−3
23
Multiple Choice
Use synthetic division to find the remainder when
3x2 + 5x + 10 is divided by 3x ─ 1 .
3
6
12
24
Please watch the 7-minute video on the next slide and complete the notes in your note packet as you watch.
25
26
Multiple Choice
If f(x) = 5x2 ─ 7x ─10, find the value of f (5) using synthetic division.
150
80
70
27
Multiple Choice
Given P(x) = x3 + x2 – x ─ 9, use direct substitution to find the value of P(4)?
14
-53
67
28
Multiple Choice
if f(x) = 3x2 - 9x - 20, find the value of f(5) using synthetic division. Confirm your answer by using direct substitution as well.
29
Thank you for your participation today! Please make note of any questions you have from this lesson. Have a great day!
Sec. 3.4:
Synthetic
Division
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