Determine the degree of each polynomial.
$-3x^2-5x^2{y}^2+y^3$

• A. $5$
• B. $3$
• C. $4$
• D. $9$

Answer: (C)

Verified step by step guidance

1. Identify each term in the polynomial: \(-3x^{2}\), \(-5x^{2}y^{2}\), and \(y^{3}\).
2. For each term, find the degree by adding the exponents of all variables in that term. For example, in \(-3x^{2}\), the degree is \$2\( because the exponent of \)x\( is \)2$.
3. Calculate the degree of the second term \(-5x^{2}y^{2}\) by adding the exponents: \$2\( (from \)x^{2}\() plus \)2\( (from \)y^{2}\(), which gives a total degree of \)4$.
4. Calculate the degree of the third term \(y^{3}\), which is simply \$3\( because the exponent of \)y\( is \)3$.
5. The degree of the polynomial is the highest degree among all its terms, so compare the degrees \$2\(, \)4\(, and \)3$ to determine the polynomial's degree.