Polynomial Operations (Add, Subtract, Multiply)

A polynomial is an expression with variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents. Vocabulary: - Term: a piece of the polynomial (e.g., 3x^2) - Coefficient: the number in front (e.g., 3 in 3x^2) - Degree of a term: the exponent on the variable (e.g., 2 in 3x^2) - Degree of the polynomial: the highest degree among all terms - Leadi…

Combine like terms — terms with the same variable and exponent. Adding: just combine like terms. Subtracting: distribute the negative, then combine.

Example: (3x^2 + 5x - 2) + (x^2 - 3x + 7)