Determine the degree of each polynomial.
$15q-21p^3$

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer: (C)

Verified step by step guidance

1. Identify each term in the polynomial: the first term is \$15q\( and the second term is \)-21p^{3}$.
2. Recall that the degree of a term is the sum of the exponents of the variables in that term. For example, in \$15q\(, the variable \)q$ has an exponent of 1.
3. Calculate the degree of the first term \$15q\( by noting the exponent of \)q$ is 1, so the degree of this term is 1.
4. Calculate the degree of the second term \(-21p^{3}\) by noting the exponent of \(p\) is 3, so the degree of this term is 3.
5. Determine the degree of the polynomial by taking the highest degree among all its terms, which is the maximum of 1 and 3.