Western Governors University (WGU) MATH1200 C957 Applied Algebra Practice Exam

A polynomial function is defined as a mathematical expression that consists of variables raised to non-negative integer powers combined using addition, subtraction, and multiplication. The key characteristic that differentiates polynomial functions is that they include terms with various powers of the variable, such as \(x^2\), \(x^3\), and so on, along with constant terms, like \(5\) or \(-3\). This variety of powers allows for the creation of complex shapes in the graph of the polynomial, depending on the degree and coefficients of these terms. For instance, a quadratic polynomial would have terms up to the second power (like \(ax^2 + bx + c\)), while a cubic polynomial could include terms up to the third power. In contrast, exponential terms involve variables in the exponent, such as \(2^x\), which do not fit the definition of a polynomial. Linear terms refer specifically to first-degree terms and do not encompass the full spectrum of term types present in polynomials. Trigonometric terms, such as \(\sin(x)\) or \(\cos(x)\), are not polynomial terms either. Thus, the primary components of a polynomial function are indeed the various powers of the variable, which define its structure