Question

write the polynomial in standard form. then name the polynomial based on its degree and number of terms.
$8z^{4}-9z - 5z^{2}$

write the polynomial in standard form.
$8z^{4}-5z^{2}-9z$

name the polynomial based on its degree and number of terms.
the polynomial is a .

Explanation:

Step1: Determine the degree of the polynomial

The degree of a polynomial is the highest power of the variable. In the polynomial \(8z^{4}-5z^{2}-9z\), the highest power of \(z\) is \(4\), so the degree is \(4\). A polynomial of degree \(4\) is called a quartic polynomial.

Step2: Determine the number of terms

The terms of the polynomial are \(8z^{4}\), \(- 5z^{2}\), and \(-9z\). So there are 3 terms. A polynomial with 3 terms is called a trinomial.

Answer:

The polynomial is a quartic trinomial.