1. The problem is to find the coefficient of the term with degree 3 in a polynomial or expression.
2. The degree of a term is the sum of the exponents of the variables in that term.
3. To identify the coefficient of the degree 3 term, first write down the polynomial and identify all terms where the sum of exponents equals 3.
4. The coefficient is the numerical factor multiplying the variables in that term.
5. For example, in the polynomial $$3x^3 + 2x^2y + 5xy^2 + 7y^3$$, the terms with degree 3 are:
- $$3x^3$$ (degree 3 because exponent of x is 3)
- $$2x^2y$$ (degree 3 because 2 + 1 = 3)
- $$5xy^2$$ (degree 3 because 1 + 2 = 3)
- $$7y^3$$ (degree 3 because exponent of y is 3)
6. The coefficients of these degree 3 terms are 3, 2, 5, and 7 respectively.
7. So, to find the coefficient of the degree 3 term, identify the term(s) with total exponent 3 and note their numerical coefficients.
Degree 3 Coefficient
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