This document discusses polynomial functions and what constitutes a polynomial function. It provides examples of functions that are polynomials, such as f(x)=x^7+2x^8-3x+1, and functions that are not polynomials, such as f(x)=5^x+2-3, since they have negative exponents or variables in the exponent. It also defines key terms related to polynomial functions, such as standard form, factored form, degree, and leading coefficient.

1. Polynomial FunctionsMaegan Kidd

2. What function is and what function isn’tYesF(X)=xˆ7 + 2xˆ8 – 3x + 1F(X)=5xˆ3 – 2xˆ2F(X)=xˆ12F(X)=xˆ2 - 4F(X)=5F(X)=(x+2)(x-1)It works if the exponent is poastive and wholeNoF(X)=5xˆ-1 + 2F(X)=3xˆ(1/2) – 4x + 2F(X)=2/xF(X)=5ˆx+2 – 3You can’t have negative exponents, variable can’t be dominator, and variable can’t be in the exponent

3. Word to know and what to look forStandard Form- multiplied out, no ( )Factored Form- ( ) ( )Degree- Highest power of X when in standard formLeading Coefficient- first coefficient, when the polynomial is in standard form and “order”Ex.- F(X)=5 + x +4xˆ2 4xˆ2 + x + 5 LC: 4