Question

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

x + 2xyz
9x3y2
18x2 + 5ab − 6y
4x4 + 3x2 − x − 4

Answer 1

Explanation:

We have to organize the given polynomials from the least to greatest based on their degrees.

A). x + 2xyz

Here xyz =
`x^(1)y^(1)z^(1)`

Power of x is = 1

Power of y = 1

and power of z = 1

So degree of (x + xyz) will be degree of the highest degree term = 1 + 1 + 1 = 3

B). 9x³y²

Degree of this term = power of x + power of y = 3 + 2 = 5

C). 18x²+ 5ab - 6y

Degree of the polynomial = Highest degree of the variable x = 2

D).
`4x^(4)+3x^(2)-x-4`

Degree of highest degree term
`4x^(4)` = 4

So sequence of the polynomials based on their degrees will be

C - A - D - B [From lowest to highest]