Like Terms and Degree
Identify the degree of each term of each polynomial. Then find the degree of the polynomial
xy^3 + 7x^3y^2 - 6xy^4 + 2
The degree of a term is the sum of the exponents of its variables,
e.g. for 7x^3 y^2 , the degree would be 5
the degree of a polynomial is the degree of the degree of the highest term .
so I would say the degree of the polynomial is 5
To identify the degree of each term of a polynomial, you need to determine the highest exponent of the variable in each term. The degree of the polynomial is the highest degree among all the terms.
Let's look at the given polynomial: xy^3 + 7x^3y^2 - 6xy^4 + 2
Let's analyze each term and identify their degrees:
1. xy^3 - The variable x is to the power of 1, and y is to the power of 3. The degree of this term is 1 + 3 = 4.
2. 7x^3y^2 - The variable x is to the power of 3, and y is to the power of 2. The degree of this term is 3 + 2 = 5.
3. -6xy^4 - The variable x is to the power of 1, and y is to the power of 4. The degree of this term is 1 + 4 = 5.
4. 2 - This term is a constant, and constants have a degree of 0.
Now, we need to find the highest degree among all the terms:
The highest degree is 5.
Therefore, the degree of the polynomial is 5.