Answer:
1. 3 terms; degree 5
2. 2 terms; degree 3
3. 9mn³ + 14mn²
4. 9a^4b^3
Explanation:
Problems 1 - 2:
Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.
The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.
The degree of the polynomial is the same as the degree of the term with the highest degree.
1.
3 terms
degree 5
2.
2 terms
degree 3
Problems 3 - 4:
Combine like terms. Like terms have the same variables and exponents.
3.
6mn³ - mn² + 3mn³ + 15mn² =
= 6mn³ + 3mn³ - mn² + 15mn²
= 9mn³ + 14mn²
4.
a^4b^3 + 8a^4b^3 =
= 1a^4b^3 + 8a^4b^3
= 9a^4b^3