Answer: Polynomial C
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A binomial is a polynomial with two terms. A term can be a single number/variable or numbers and variables multiplied together, and are separated by + or -.
Looking at your list, you can already eliminate A and B because they both have three terms.
A 5th degree polynomial has the highest power of the variable as raised to the 5th power.
Between C and D, only choice C has x raised to the 5th power.