Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz

Respuesta :

the order is III, II, I, IV

Answer:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]  

Step-by-step explanation:

We are given expressions in the question.

Term in an expression:

  • Each expression constitute terms.
  • A term can be a number, a variable, or a constant multiplied by a variable or variables.
  • Each term in an algebraic expression is separated by a + sign or - sign.

We need to find the number of terms in each expression:

1)

[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]

2)

[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]

3)

[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]

4)

[tex]9x^2yz\\\text{Number of terms} = 1[/tex]

Arranged  from greatest to least by number of terms:

[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]