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

I. x + 2xyz
II. 3x + y + z
III. 2x3y + y2x − 3x + 4
IV. 9x3yz

A. II, III, I, IV
B. III, I, IV, II
C. I, II, IV, III
D. II, I, III, IV

Sagot :

Answer:

Step-by-step explanation: To arrange the given expressions in ascending order, we can look at the terms with the highest exponents first.

I. x+2xyzx+2xyz has the highest exponent of xyzxyz.

II. 3x+y+z3x+y+z has no exponents.

III. 2x3y+y2x−3x+42x3y+y2x−3x+4 has the highest exponent of x3yx3y.

IV. 9x3yz9x3yz has the highest exponent of x3yzx3yz.

Arranging them in ascending order based on their exponents, we get:

C. I, II, IV, III

Hope this helps! :3