isabella292008
Answered

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

1. [tex][tex]$6 x^2$[/tex][/tex]
2. [tex][tex]$18 x^2 + 5 a b - 6 y$[/tex][/tex]
3. [tex][tex]$8 a - 5$[/tex][/tex]
4. [tex][tex]$4 x^3 + 3 x^2 - x - 4$[/tex][/tex]

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

Sagot :

GinnyAnswer
Certainly, let's examine each expression in detail and determine the number of terms in each one before organizing them from greatest to least by the number of terms.

1. Expression I: [tex]\(6x^2\)[/tex]
- This expression has a single term: [tex]\(6x^2\)[/tex].
- Number of terms: 1

2. Expression II: [tex]\(18x^2 + 5ab - 6y\)[/tex]
- This expression consists of three different terms: [tex]\(18x^2\)[/tex], [tex]\(5ab\)[/tex], and [tex]\(-6y\)[/tex].
- Number of terms: 3

3. Expression III: [tex]\(8a - 5\)[/tex]
- This expression contains two terms: [tex]\(8a\)[/tex] and [tex]\(-5\)[/tex].
- Number of terms: 2

4. Expression IV: [tex]\(4x^3 + 3x^2 - x - 4\)[/tex]
- This expression is composed of four terms: [tex]\(4x^3\)[/tex], [tex]\(3x^2\)[/tex], [tex]\(-x\)[/tex], and [tex]\(-4\)[/tex].
- Number of terms: 4

Now, let's organize these expressions from greatest to least by the number of terms:

- Expression IV has the greatest number of terms: 4 terms.
- Expression II follows with 3 terms.
- Expression III comes next with 2 terms.
- Expression I has the least number of terms: 1 term.

Therefore, the correct order from greatest to least by the number of terms is:

IV, II, III, I

So, the final answer is:

IV, II, III, I
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