Mrs. Carter's Algebra 2 - Topics to Know

Semester 2:

Chapter 6: Polynomial Functions -
standard form
how to classify (name using degree & number of terms)
find relative max, relative min, zeros
factored form
write a polynomial function from its zeros
long division/check for factors
synthetic division
solve polynomial equations - graphing, factoring, find all complex roots
factor a sum or difference of cubes
factor using a quadratic pattern
solve higher-degree polynomial equations

Chapter 7: Radical Functions and Rational Exponents
rational exponents
nth root
simplify expressions with rational exponents
convert to and from radical form
know the properties of rational exponents
rationalize the denominator
solve square root equations
solve other radical equations
function operations
add, subtract, multiply & divide functions
composite functions
graph a relation and its inverse
find an inverse function
composition of inverse functions
graph square root functions and other radical functions

Chapter 8: Exponential and Logarithmic Functions -
general form/writing exponential function from 2 points
growth/decay factor
graphing exponential/logarithmic functions
find rate of increase
properties of exponential functions
logarithm
common logarithm
exponential form to logarithmic form and vice versa
evaluate logarithms
properties of logarithms
solving exponential equations
change of base formula
solving logarithmic equations
natural logarithms
simplify natural logarithms
solve natural logarithmic equations