The coefficient of the first term in the polynomial 2x^2y+3xy-1 is _?_
The first term in the polynomial is
2 x^2 y
The coefficient is the number at the beginning of that term.
You really should to try to think these through by yourself
To find the coefficient of the first term in the polynomial 2x^2y+3xy-1, we need to understand the structure of a polynomial and how to identify coefficients.
A polynomial is an expression consisting of variables, coefficients, and exponentiation, combined using addition and subtraction. In this case, our polynomial is 2x^2y+3xy-1.
Each term in a polynomial consists of a coefficient multiplied by one or more variables raised to certain powers. In our polynomial, the terms are 2x^2y, 3xy, and -1.
The coefficient of a term is the numerical factor that multiplies the variables. For example, in the term 2x^2y, the coefficient is 2.
Therefore, in the polynomial 2x^2y+3xy-1, the coefficient of the first term (2x^2y) is 2.