College Algebra
Answer/Discussion to Practice Problems 
Tutorial 6: Polynomials

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Answer/Discussion to 1a -10

 

Since the degree of the polynomial is the highest degree of all the terms, it looks like the degree is 0.  Since there is one term, this is a monomial.

 

(return to problem 1a)

 

Answer/Discussion to 1b

 

Since the degree of the polynomial is the highest degree of all the terms, it looks like the degree is 4.  Since there are three terms, this is a trinomial.

 

(return to problem 1b)

 

Answer/Discussion to 1c

 

Since the degree of the polynomial is the highest degree of all the terms, it looks like the degree is 2.  Make sure that you don't fall into the trap of thinking it is always the degree of the first term.  This polynomial is not written in standard form (descending order).  So we had to actually go to the second term to get the highest degree.   Since there are two terms, this is a binomial.

 

(return to problem 1c)

 

Answer/Discussion to 2a

 

*Remove the (  ) *Add like terms together

 

(return to problem 2a)

 

Answer/Discussion to 2b

 

*Dist. the - through second ( ) *Add like terms together

 

(return to problem 2b)

 

Answer/Discussion to 2c

 

*Use the FOIL method *Combine like terms

 

(return to problem 2c)

 

Answer/Discussion to 2d

 

*

 

(return to problem 2d)

 

Answer/Discussion to 2e

 

*Use Dist. Prop. twice *Combine like terms

 

(return to problem 2e)

 

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Last revised on Dec. 21, 2009 by Kim Seward.
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