Answer
3$z^{4}$ - 2$z^{2}$ - 5z; Quartic trinomial
Work Step by Step
STEP 1: Write out the original expression.
3$z^{4}$ - 5z - 2$z^{2}$
The expression has 3 terms in it, thus classifying itself as a trinomial.
STEP 2: Arrange the trinomial into standard form, meaning that the terms are listed from greatest exponent value to the least exponent value.
3$z^{4}$ - 2$z^{2}$ - 5z
The degree is the greatest exponent value, and in 3$z^{4}$ - 2$z^{2}$ - 5z, the degree is 4. The name of a trinomial with a degree of 4 is a quartic trinomial.