Respuesta :

The answer in standard form is  
-z^4 + 3z^2
This is a quartic polynomial

The term with the highest exponent is listed first, then you list the next largest and so on. The like terms are z^2 and 2z^2 which combine to 3z^2

The standard form of given polynomial is [tex]-z^4-0z^3+3z^2+0z+0[/tex] and it is a binomial with degree 4

What is a polynomial?

"It is a mathematical expression which consists of variables, constants and exponents, that are combined using the mathematical operations."

For given question,

We have been given a polynomial [tex]z^2 - z^4 + 2z^2[/tex]

We write above polynomial in the standard form.

[tex]z^2 - z^4 + 2z^2\\\\=3z^2 - z^4 \\\\=-z^4+3z^2\\\\=-z^4-0z^3+3z^2+0z+0[/tex]

So, the given polynomial in the standard form is [tex]-z^4-0z^3+3z^2+0z+0[/tex]

The polynomial [tex]-z^4+3z^2[/tex] has only two terms.

so, it is a binomial.

Also, the degree of given polynomial is 4.

Therefore, the standard form of given polynomial is [tex]-z^4-0z^3+3z^2+0z+0[/tex] and it is a binomial with degree 4

Learn more about the polynomial here:

https://brainly.com/question/9231261

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