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

x + 2xyz

9x3y2

18x2 + 5ab − 6y

4x4 + 3x2 − x − 4

Verified Answer :

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]