Question

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

Answer 1

Answer:

$2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)$  

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)

$x + 2xyz\\\text{Number of terms}= 2$

2)

$3x + y + z\\\text{Number of terms}= 3$

3)

$2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4$

4)

$9x^2yz\\\text{Number of terms} = 1$

Arranged  from greatest to least by number of terms:

$2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)$

Answer 2

The order is III, II, I, IV