REVIEW:Polynomial Operations
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I will be able to add, subtract, multiply, and divide polynomials.
Name
Per
Part 1: Classify each as M (monomial), B (binomial), T (trinomial), P (polynomial), or C (constant).
1).______ 2x  1
2).______ 17 x 2  11
3).______ 8 x 3  2 x 2  3 x  7
4).______  130
5).______ 4a 2  7a  10
6).______ 10 x 3  2 x  1
Part 2: Order of Operations and Fractions
7.) 4 + 2 x 12  6 – 8 =
10.)
2 3
+ =
7 7
8.) 9  3 + 6 x 2 =
11.)
9.) 3 + 4 – 6 + 2 x 35 =
4 1
+ =
5 2
12.)
3 1
 
5 3
Part 3: Add these polynomials. Only combine things that are alike (have the same exponent).
12.) ( 19 x 2  12 x  12)  (7 x 2  10 x  13)
13.) ( 4 x 2  6 x  7)  (19 x 2  15x  18)
14.) (20 x 2  15x  13)  (19 x 2  17 x  5)
15.) (9 x6  4 x5 )  (10 x5  15x 4  14)
Part 4: Subtract these polynomials.
18.) (6x + 14) - (9x + 5)
20.) (19x2 + 9x + 16) - (5x2 + 12x + 7)
21.) (17x2 + 7x - 14) - (-6x2 - 5x - 18)
22.) (-18x2 + 4x - 16) - (15x2 + 4x – 1)
Part 5: Use the distributive property to find the product (multiply).
29.) 6( x 2  2 x  7)
30.) 4 x(1  x)
30.)  x 2 ( x  5)
31.) 3x²(4x³ – 5x + 10)

32.) 3x  x 2  2 x  12

Part 7: Use division and the distributive property to simplify. Divide EVERY term.
 18 x 2  21x
-15x +10
33.)
35.)
3
5
37.)
20 x 4  15 x 2
5x2
38.)
x 4  3x3  7 x
x
Use the FOIL Method to simplify the following:
(x – 3)(x + 4)
(2x + 4)(2x + 3)
(x – 7)(x – 6)
(3x – 1)(x + 5)
Multiply Binomials by Trinomials
(x + 5)(x2 – 6x + 3)
(2x – 3)(4x2 + 8x – 2)