Download Section 7.16

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Class
Date
Additional Practice
Lesson 7.16
1. Use the Binomial Theorem to expand each binomial. Use your CAS to
verify your answers.
a. (2x 1 y)8
b. (x 1 3y)6
8
c. (2x 2 3y)
d. (3x 2 4y)6
2. Consider the expansion of (a 1 b)9.
a. What is the coefficient of the term a 4b 5?
b. What other term or terms share this coefficient?
c. Which terms do not share their coefficients with any other terms?
3. Determine the coefficient of each term below in the expansion
of (x 2 y)12.
a. x 3y 9
b. x 5y 7
c. x 6y 6
4. Determine the coefficient of each term below in the expansion
of (2x 1 5y)12.
a. x 3y 9
b. x 5y 7
c. x 6y 6
5. a. Compute the alternating sum below.
7
7
7
7
7
7
7
Q R2Q R1Q R2Q R1Q R2Q R1Q R
0
1
2
3
4
5
6
b. This is the alternating sum of the numbers in the seventh row of
Pascal’s Triangle. What is the sum if the row number n is 8 instead
of 7? If n is 9? If n is 10?
6. Write a polynomial that you can factor in the form (a 2 b)n, satisfying
the following criteria:
• The constant term is not 1.
• There is exactly one variable x.
• There are at least five terms.
7. Simplify each expression.
a. A "2 1 "5B 50 A "2 2 "5B 50
b. A "3 1 "6B 100 A "3 2 "6B 100
CME Project • Algebra 2 Practice Workbook
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