Name: ________________________ Class: ___________________ Date: __________
Unit 1-7: Introduction to Polynomials
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which of the following could below could be classified as a POLYNOMIAL?
a. 2 x  3 2x  x
c. 2x 3  5x 1  x
b. 5n  1
d. 2w  2 w
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2. What is the DEGREE of the polynomial: 2x 2 y  7x 2 y 3  6xy 2 ?
a. 2
c. 6
b. 3
d. 5
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3. What is the LEADING COEFFICIENT of the polynomial: 2x 2 y  7x 2 y 3  6xy 2 ?
a. 2
c. 7
b. 6
d. 3
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4. Simplify the following expression:
ÁÊÁ 10a 2  3  5a ˜ˆ˜  ÁÊÁ 2  5a 2  a ˜ˆ˜
Ë
¯ Ë
¯
a.
b.
____
____
15a 2  6a  1
15a 4  6a 2  1
c.
d.
5. Expand and simplify the following expression:
Ê
ˆ
3x 2 ÁÁ 5x 2  3x  2 ˜˜
Ë
¯
2
a. 15x  9x  6
c.
4
3
2
b. 8x  6x  5x
d.
5a 2  4a  1
5a 4  4a 2  1
15x 4  15x 2
15x 4  9x 3  6x 2
6. Determine an expression that would represent the perimeter of the figure shown below:
a.
b.
10x  6
20x  12
c.
d.
1
16x 2  42x  5
16x 2  5
ID: A
Name: ________________________
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7. Simplify the following expresion by dividing:
20a 3  12a 5  8a 4
4a 2
a.
b.
____
ID: A
5a  12a 5  8a 4
16a 1.5  8a 2.5  4a 2
c.
d.
20a 3  3a 3  8a 4
5a  3a 3  2a 2
8. What is the GCF of the expression below that could be use to rewrite the polynomial in factored form?
15a 5  10a 3  30a 4
a.
b.
10a 3
15a 5
c.
d.
2
5a 3
30a 5