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 terms are \$15q\( and \)-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, so the degree of this term is 1.
3. For the term \(-21p^{3}\), the variable \(p\) has an exponent of 3, so the degree of this term is 3.
4. The degree of the polynomial is the highest degree among all its terms. Compare the degrees of the terms: 1 and 3.
5. Conclude that the degree of the polynomial \$15q - 21p^{3}$ is the highest degree found, which is 3.