Final answer:
The polynomial 3z^4-5z-3z² is written in standard form as 3z^4 - 3z² - 5z, with terms arranged in descending order of exponent.
Step-by-step explanation:
To write the polynomial 3z^4-5z-3z² in standard form, we need to rearrange the terms in descending order of their powers. The standard form is given by
3z^4 - 3z² - 5z
Here, we started with the highest power of z, which is z to the fourth degree, followed by the second-highest power, z squared, and finally the linear term, z to the first power. Note that the constants and coefficients are carried along with their respective terms.