WS 8.4a - Polynomials
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I will be able to classify polynomials and put in standard form
Name
Period
Part 1: First, Classify each as linear (degree 1), quadratic (degree 2), or cubic (degree 3)
Then, Classify each as Monomial, Binomial, Trinomial, Polynomial, or Constant.
1). 2x  1
4).  130
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2). 17 x 2  11
5). 4a 2  7 a  10
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3). 8 x 3  2 x 2  3 x  7 ______
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3
6). 10 x  2 x  1
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Part 2: Standard Form of Polynomials
7.) Circle the problems that are in standard form (decending degree). If it is not in standard form, re-write in
standard form.
a.
x 3  11x 2
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8.
b. 2 3x  4 x 2  3x3
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c.
 3 x  17 x 4  2 x 2
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d.  1  3 x  2 x 2
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Given: 2 x 3  5 x 2  2 x  12
a. How many terms are there? ____
b. What is the coefficient of the 3rd term?___
c. What is the constant? _____
WS 8.4b - Polynomials
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I will be able to add, and subtract polynomials.
Name
Part 3: Add these polynomials. Only combine like terms.
9.) 14x + 5
10.) 10x + 12
+10x + 5
+ 6x + 20
Per
11.)
17 x 2  11
+ 8 x 2  11
12.) ( 19x 2  12x  12)  (7 x 2  10x  13)
13.) ( 4 x 2  6 x  7)  (19x 2  15x  18)
14.) (20x 2  15x  13)  (19x 2  17 x  5)
15.) (9 x 6  4 x5 )  (10x5  15x 4  14)
WS 8.4c - Polynomials
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I will be able to add, subtract, multiply and divide polynomials
Name
Part 4: Subtract these polynomials.
16.) (6x + 14)
17.) (14x2 + 13x + 12)
- (9x + 5)
- (7x2 + 20x + 4)
18.) (19x2 + 9x + 16)
- (5x2 + 12x + 7)
Per
19.) (17x2 + 7x - 14) - (-6x2 - 5x - 18)
Part 5: Multiplying Monomials
20.) 2 x(4 x 2 )
21.)
17x 2 (2 x5 )
22.)
 12x 2 (2 x)
23.) (-3x2)3
WS 8.4d - Polynomials
______________________________
I will be able to multiply, and divide polynomials.
Name
Per
Part 6: Use the distributive property (rainbow) to find the product (multiply).
24.)
4( x  2)
25.)
 3(2 x 2  1)
26.) 6( x 2  2 x  7)
27.)
4 x(1  x)
28.)  x 2 ( x  5)
Part 7: Use division and the distributive property to simplify. Divide EVERY term.
 18x 2  21x
 15x  10
6 x 2  10
−7x2
29.)
30.)
31.)
32.)
14𝑥 7
5
3
2