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The degree of a polynomial is determined by the highest degree of the terms within it, and the degree of the terms is determined by the power of the variable and the amount of variables in it.

For example, the term 3x has a degree of one, as does 5y. However when there is more than one variable you add the degrees together, so 4xy has a degree of 2, not 1. Any single variable to the 2nd power e.g. 8x2 also has a degree of 2.

So a polynomial of one degree is a polynomial where each of its terms only have one variable to the first power so 5+x is to one degree, as is 1+2x+3y+4z despite having more than one variable in the expression.

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Q: How do you identify the polynomials of degree one?
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