6.1E: Exercises
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Identify Polynomials, Monomials, Binomials, and Trinomials
In the following exercises, determine if each of the following polynomials is a monomial, binomial, trinomial, or other polynomial.
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- trinomial
- polynomial
- binomial
- monomial
- binomial
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- binomial
- trinomial
- polynomial
- trinomial
- monomial
Determine the Degree of Polynomials
In the following exercises, determine the degree of each polynomial.
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- 3
- 0
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- 1
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- 3
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Add and Subtract Monomials
In the following exercises, add or subtract the monomials.
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Add:
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Add:
Subtract
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Subtract
Add and Subtract Polynomials
In the following exercises, add or subtract the polynomials.
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Subtract
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Subtract
Subtract
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Subtract
Find the sum of
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Find the sum of
Find the sum of
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Find the sum of
Find the difference of
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Find the difference of
Find the difference of
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Find the difference of
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Evaluate a Polynomial for a Given Value
In the following exercises, evaluate each polynomial for the given value.
Evaluate
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Evaluate
Evaluate
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Evaluate
A painter drops a brush from a platform
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A girl drops a ball off a cliff into the ocean. The polynomial
A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of
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A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of
Everyday Math
Fuel Efficiency The fuel efficiency (in miles per gallon) of a car going at a speed of
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Stopping Distance The number of feet it takes for a car traveling at
Rental Cost The cost to rent a rug cleaner for
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Height of Projectile The height (in feet) of an object projected upward is given by the polynomial
Temperature Conversion The temperature in degrees Fahrenheit is given by the polynomial
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F
Writing Exercises
Using your own words, explain the difference between a monomial, a binomial, and a trinomial.
Using your own words, explain the difference between a polynomial with five terms and a polynomial with a degree of 5.
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Answers will vary.
Ariana thinks the sum
Jonathan thinks that
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Answers will vary.
Self Check
a. After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

b. If most of your checks were:
…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific.
…with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?
…no - I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need.