20

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

i. 6x^2

ii. 18x^3 + 5ab − 6y

iii. 8a − 5

iv. 4x^3y + 3x^2 − xy − 4

select one:

a. iii, i, iv, ii

b. iv, ii, i, iii

c. iii, i, ii, iv

d. iv, i, ii, iii

B is the correct answer

Step-by-step explanation:

Functions or expressions are given degrees based on their highest exponent on the variable.  

The larger the value of the exponent, the higher the degree.  In this example,

6x² has a degree of 2 because 2 is the highest exponent of x

18x^3 + 5ab − 6y has a degree of 3 because 3 is the highest exponent of x

8a − 5    has a degree of 1 because the highest exponent of a

4x^3y + 3x^2 − xy − 4  has a degree of 3y

So IV has the highest degree, followed by II, followed by I, and III has the lowest degree

a - base

b - exponent

so,