Question

Organize the following polynomial expressions from least to greatest based on their degree:


I. x + 2xyz
II. 3x + y + z
III. 2x^3y + y^2x - 3x + 4
IV. 9x^3yz

A. II, III, I, IV

B. III, I, IV, II

C. I, II, IV, III

D. II, I, III, IV

Answer 1

Do you know how to determine the degree of these expression?

Answer 2

find the degree of each term (sum of the degrees of each variable in the term), and the degree of the expression is the largest degree of any term.

Answer 3

so, e.g.,

x + 2xyz

has a degree=1 term (x) and a degree = 3 term (2xyz), so the degree of the expression is 3.

Now do that for all of them, and it should be easy to put them in order by degree. :)