Download Standards for the first polynomial test

Standards for the polynomial test:
Graph simple polynomial functions as translations of the function f(x) = ax^n.
Understand the effects of the following on the graph of a polynomial function: degree,
lead coefficient, and multiplicity of real zeros.
Determine whether a polynomial function has symmetry and whether it is even, odd, or
neither.
Investigate and explain characteristics of polynomial functions, including domain and
range, intercepts, zeros, multiplicity of zeros, relative and absolute extrema*, intervals
of increase and decrease, and end behavior. (*algebraically with quadratics) Also use
such information to sketch a polynomial and/or write the equation of one.
Find real and complex roots of higher degree polynomial equations using the factor
theorem, remainder theorem, rational root theorem, Descartes’ rule of signs and
fundamental theorem of algebra, incorporating complex and radical conjugates.
Solve polynomial equations analytically, graphically, and using appropriate technology.
Solve a variety of types of polynomial equations by appropriate means choosing among
mental calculation, pencil and paper, or appropriate technology.
Explore the characteristics of higher degree polynomial functions using tables, graphs,
and algebraic techniques.
Use algebraic models to represent and explore real phenomena.
Solve a variety of equations and inequalities using numerical, graphical, and algebraic
techniques with appropriate technology.
 End behavior
 Finding relative extrema (of a quadratic)
 Remainder and Factor Theorem
 Rational Root Theorem
 Fundamental Theorem of Algebra
 Finding zeros (roots)
 Graphing polynomials