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Organize the following expressions from greatest to least by number of terms:


x+2xyz
II. 
3x+y+z
III. 
2x^(2)y+x^(2)-3x+4
IV. 
9x^(2)yz
III, II, I, IV
III, I, IV, II
I, II, IV, III
II, I, III, IV

Organize the following expressions from greatest to least by number of terms:\newline11. x+2xyz x+2 x y z \newlineII. 3x+y+z 3 x+y+z \newlineIII. 2x2y+x23x+4 2 x^{2} y+x^{2}-3 x+4 \newlineIV. 9x2yz 9 x^{2} y z \newlineIII, II, I, IV\newlineIII, I, IV, II\newlineI, II, IV, III\newlineII, I, III, IV

Full solution

Q. Organize the following expressions from greatest to least by number of terms:\newline11. x+2xyz x+2 x y z \newlineII. 3x+y+z 3 x+y+z \newlineIII. 2x2y+x23x+4 2 x^{2} y+x^{2}-3 x+4 \newlineIV. 9x2yz 9 x^{2} y z \newlineIII, II, I, IV\newlineIII, I, IV, II\newlineI, II, IV, III\newlineII, I, III, IV
  1. Count terms in expression I: First, count the number of terms in expression I, which is x+2xyzx + 2xyz. There are 22 terms in this expression.
  2. Count terms in expression II: Next, count the number of terms in expression II, which is 3x+y+z3x + y + z. There are 33 terms in this expression.
  3. Count terms in expression III: Then, count the number of terms in expression III, which is 2x2y+x23x+42x^{2}y + x^{2} - 3x + 4. There are 44 terms in this expression.
  4. Count terms in expression IV: Finally, count the number of terms in expression IV, which is 9x2yz9x^{2}yz. There is 11 term in this expression.
  5. Organize expressions by terms: Now, we can organize the expressions by the number of terms from greatest to least: III (44 terms), II (33 terms), I (22 terms), IV (11 term).

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