Polynomials Quiz
Web resources available
This quiz tests the work covered in Lecture 5 and corresponds to the first half of
Section 1.6 of the textbook Calculus: Single and Multivariable (Hughes-Hallett,
Gleason, McCallum et al.).
You may wish to start reviewing the section on powers at
http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/zoo/powers.html and then
continue to http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/zoo/polynomials.html,
both pages have useful graphics.
There is a puzzle at http://www.univie.ac.at/future.media/moe/tests/fun1/erkennen.html which gets you to match quadratic and linear graphs to their formulae.
There are some java applets at http://id.mind.net/ zona/mmts/functionInstitute/polynomialFunctions/graphs/polynomialFunctionGraphs.html which let you play with the coefficients of polynomials of various degrees. This gives a very good idea of how the coefficients change the graph.
Question 1
Is the following statement true or false?
dominates
as
Question 2
Which of the following statements are correct? There may be more than one correct answer.
For example, choice (a) should be true.
is 3 and this is degree of the polynomial and the
coefficient of
is 7 and this is the leading coefficient.For example, choice (b) should be false.
For example, choice (c) should be false.
For example, choice (d) should be true.
is 4 and this is degree
of the polynomial and the coefficient of
is -5 and this is the leading
coefficient.For example, choice (e) should be true.
must be positive.For example, choice (f) should be false.
- True. The highest power of
is 3 and this is degree of the polynomial and the
coefficient of
is 7 and this is the leading coefficient. - False. Try again, read the definition of a polynomial on page 38.
- False. Try again, read the definition of a polynomial on page 38.
- True. The highest power of
is 4 and this is degree
of the polynomial and the coefficient of
is -5 and this is the leading
coefficient. - True. In a polynomial the powers of
must be positive. - False. Try again, read the definition of a polynomial on page 38.
Question 3
Consider the graph below, which gives a global view.

Which of the the following statements are correct?
as
the leading
coefficient is negative.
as
and there are 4 turns.
as 
Question 4
Consider the 4 graphs below, which gives global views of the functions, and match
them to possible formulae.
|
has to be of even degree and
has to be of odd degree.
right first
right
wrong