Question

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

Answer 1

Answer:

Step-by-step 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]