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]