Determine the degree of each polynomial.
$a^2+2ab+b^2$

• A. $6$
• B. $2$
• C. $5$
• D. $4$

Answer: (B)

Verified step by step guidance

1. Identify each term in the polynomial: \(a^2\), \$2ab\(, and \)b^2$.
2. Determine the degree of each term by adding the exponents of the variables in that term. For example, in \(a^2\), the degree is 2 because the exponent of \(a\) is 2.
3. For the term \$2ab\(, add the exponents of \)a\( and \)b\(. Since both \)a\( and \)b\( have an exponent of 1, the degree of this term is \)1 + 1 = 2$.
4. For the term \(b^2\), the degree is 2 because the exponent of \(b\) is 2.
5. The degree of the polynomial is the highest degree among its terms, so compare the degrees found and select the largest one.