3.6.3 Practice_ Polynomial and Rational Functions_ Harvard University MATH MATH E-102

3.6.3 Practice: Polynomial and Rational Functions
Answer the following questions using what you've learned from this unit. Write your responses in
the space provided.

For questions 1, determine whether each expression is a monomial. If so, determine its degree.

1.

(a) (b)
(1 point) (1 point)




A is a monomial and B is not.




For questions 2 - 5, determine whether each expression is a polynomial.



2. ​ (1 point)



Just by looking at this I can infer that this is in fact a polynomial




3. ​ (1 point)



Just by looking at this I can infer that this is in fact a polynomial




4. ​ (1 point)



Just by looking at this I can infer that this is in fact a polynomial




5. ​ (1 point)

Just by looking at this I can infer that this is in fact a polynomial

, For questions 6 - 8, write each polynomial in standard form. Name each polynomial according to its
degree and the number of terms. Then, state all the following information for each function: degree,
leading coefficient, and constant term.


6. ​ (2 points)



Standard form: x^2+x-1



Polynomial name: Name: trinomial and Degree: quadratic



Degree: 2



Leading coefficient: Rising to the left and rises to the right



Constant term: 1




7. ​ (2 points)



Standard form: x+pi



Polynomial name: Name: Binomial and degree: linear



Degree: 1



Leading coefficient: falls to the left and rises to the right