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Mr. Hall asks his students to write an expression that contains four terms, two exponents, and a quotient. Which expression meets all of Mr. Hall's requirements? A. 3 x 2 + y + z 15 B. 3 x 2 + y 2 + z 15 C. 3 x 2 + y + z 15 + 2 D. 3 x 2 + y 2 + z 15 + 2

Respuesta :

The needed expression  by Mr. Hall is  [tex]D. 3 x^2 + y^2 + \frac{z}{15} + 2[/tex]

Step-by-step explanation:

The needed requirements are:

1. Four Terms

2. Two Exponents

3. A quotient

Now, let us consider each expression one by one.

A.[tex]3 x^2 + y + z ^{15}[/tex]

Here, there are only three terms.

So, not the needed expression.

B.[tex]3 x^2 + y^2 + z ^{15}[/tex]

Here, there are only three terms.

So, not the needed expression.

C.[tex]3 x^2 + y + \frac{z}{15}[/tex]

Here, there are only three terms.

So, not the needed expression.

D.[tex]3 x^2 + y^2 + \frac{z}{15} + 2[/tex]

Here, the total number of terms = 4  =  [tex]({3x^2 , y^2, \frac{z}{15} ,2})[/tex]

Two exponents are here.  = [tex](x^2 , y^2)[/tex]

Also, the given expression has a quotient of z and 15.

Hence, the needed expression is  D.[tex]3 x^2 + y^2 + \frac{z}{15} + 2[/tex]

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