Question

Express the polynomial z^2 − z^4 + 2z^2 in standard form and then classify it.quadratic trinomialcubic trinomialquartic binomialquintic trinomial

Answer 1

Given:

There are given that the polynomial:

$z^2-z^4+2z^2$

Explanation:

According to the concept, trinomial is three terms, and binomial means two terms.

And,

When the degree of any polynomial is 2, then it represents quadratic, when the degree is 3, it represents cubic, when the degree is 4, then it represents quartic, and when the degree is 5, then it represents quintic.

Now,

From the equation:

$z^{2}-z^{4}+2z^{2}=3z^{3}-z^{4}$

In the above equation, there are only two parts and they have degree 4.

So, the given terms represent quartic binomial.

Final answer:

Hence, the correct option is C.