Answer :
Final answer:
The degree of the polynomial 28b^(2)c^(3)+x+66 is determined by the highest power of any term, in this case, the term 28b^(2)c^(3), which results in a degree of 5.
Explanation:
In Mathematics, the degree of the polynomial is defined as the highest power of the variable in the polynomial. For the polynomial 28b^(2)c^(3)+x+66, we observe that the terms 28b^(2)c^(3), x, and 66 are added together. Each term has its own degree, and we consider the term with the highest degree to determine the polynomial's degree.
The degree of the term 28b^(2)c^(3) is 5 since we add the powers of the variables 2(b's power) and 3(c's power). The degree of the term x is 1, and since 66 is a constant, it has a degree of 0. Therefore, the degree of the polynomial 28b^(2)c^(3)+x+66 is 5 since 5 is the highest degree among all terms.
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