Answer:
D
Step-by-step explanation:
Terms are separated by addition and subtraction symbols.
Polynomials consist of terms that are constant and/or variable. The variable terms must have 0 or positive exponents. Polynomials will not consist of division of variable expressions.
Examples of polynomials:
[tex]5[/tex]
[tex]5x[/tex]
[tex]6-x[/tex]
[tex]24x^9-x[/tex]
Examples of non-polynomials:
[tex]\sqrt{x}[/tex]
[tex]\frac{x+2}{x-4}[/tex]
In general a polynomial when written in standard form should be comparable to:
[tex]a_nx^n+a_{n-1}x^{n-1}+\cdots a_3x^3+a_2x^2+a_1x+a_0[/tex]
where the [tex]a[/tex]'s could be zero and all the exponents,n, are positive or 0.
D is comparable since all of these are 0 except [tex]x_4[/tex] which is 1 and [tex]x_0[/tex] which is -2.
Also the other choices have either division by variable expressions and/or negative exponents on variables.
