Polynomials Worksheet #1
REVIEW:Polynomial Operations ______________________________
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).______ [pic] 2).______ [pic] 3).______ [pic]
4).______ [pic] 5).______ [pic] 6).______ [pic]
Part 2: Standard Form of Polynomials
7.) Circle the problems that are in standard form. If it is not in standard form, re-write in standard form.
a. [pic] b. [pic] c. [pic] d. [pic]
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8. Given: [pic]
How many terms are there? ____ What is the coefficient of the 3rd term? ____ What is the constant? _____
Part 3: Add these polynomials. Only combine things that are alike (have the same exponent).
12.) ([pic] 13.) ([pic]
14.) [pic] 15.) [pic]
16.) ([pic] 17.) [pic]
Part 4: Subtract these polynomials.
18.) (6x + 14) 19.) (14x2 + 13x + 12) 20.) (19x2 + 9x + 16)
- (9x + 5) - (7x2 + 20x + 4) - (5x2 + 12x + 7)
21.) (17x2 + 7x - 14) - (-6x2 - 5x - 18) 22.) (-18x2 + 4x - 16) - (15x2 + 4x - 13)
Part 5: Multiplying Monomials
23.) [pic] 24.) [pic] 25.) [pic] 26.) [pic]
Part 6: Use the distributive property to find the product (multiply).
27.) [pic] 28.) [pic] 29.) [pic] 30.) [pic]
30.) [pic] 31.) 3x²(4x³ – 5x + 10) 32.) [pic]
Part 7: Use division and the distributive property to simplify. Divide EVERY term.
33.) [pic] 34.) [pic] 35.) [pic]
36.) [pic] 37.) [pic] 38.) [pic]
Use the FOIL Method to simplify the following:
(x – 3)(x + 4) (2x + 4)(2x + 3) (x – 7)(x – 6)
(3x – 1)(x + 5) (4x + 3)(2x + 4) (x – 4)(x – 2)
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