Download Teachers: Please use the information below to set up Module 5

Teachers: Please use the information below to set up Module 5.
Lesson 2 - Long Division Quiz
Post the following question to the Q&A Forum:
In this lesson, you learned two methods for dividing polynomials, which are long
division and synthetic division. Although both methods work, students often
develop a preference for one method. Which method do you prefer and why do
you prefer this method? If don't have a single preference, explain when you
prefer each of the methods and why.
Upload Assignment Answers:
1. Long Division:
2.
4x
3
4x
Long Division:
 3x 2  x  1 x  2 
3
 x 2  4  x  1
x 1
3. Synthetic Division: x  1
4x 2  11x  23 
ANS:
4x 2  3x  3 
ANS:
45
x2
7
x 1
5
4. Synthetic Division:
4
3
2
ANS: x  x  x  x 1
x 3  x 2  2x  4  x  2 
x2  x  4 
ANS:
12
x2
Upload Assignment Answers (Honors)
1. Long Division:
3x
 4x 2  x  7  x 2  1
x a
xa
2
2. Long Division:
3
ANS:
2x  3
x2  1
3
x5  1
3. Synthetic Division: x  1
4. Synthetic Division:
3x  4 
2
2
ANS: x  ax  a
4
3
2
ANS: x  x  x  x 1
x 3  x 2  2x  4  x  2 
Lesson 4 - Remainder & Factor Theorems Quiz
x2  x  4 
ANS:
12
x2
1.
2.
3.
4.
5.
Answers
Use synthetic division. The last number is the value of the function at -2.
The Remainder Theorem is a less complicated method for evaluating functions.
Use either long or synthetic division. If the remainder is zero, then x - 1 is a
factor.
Use either long or synthetic division to factor. Then set each factor equal to zero
to solve.
2
3
6
0
5 10
6
0
0 10
3
0
0
5
0
Is a factor.
Honors Question 5:
1
3 1 0 3 1
3
2 2
1
1
3 9
3
2
2
3
27
9
0
Is a factor.
Lesson 6 Forum - Binomial Theorem (Honors only)
Post the following question to the Q&A Forum:
Binomials raised to a power can be expanded using repeated
multiplication. Write binomial expansion for
(x + y) =
(x + y)2 =
(x + y)3 =
(x + y)4 =
(x + y)5 =
Look carefully at the expansions and describe your observations. (Please
do not include the expansions in your reply.) Use complete sentences
and proper grammar.
Your grade is determined by the thoughtfulness of your observation.
When you are ready to submit, select Reply.
Grading: Give 100% for reasonable answers.