evaluating polynomials 20 videos
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Polynomial Functions
Precalculus Polynomial and Rational Functions
How we define polynomial functions, and identify their leading coefficient and degree.
polynomial functions coefficients leading term leading coefficient degree -
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula -
Graphing Polynomial Functions
Precalculus Polynomial and Rational Functions
How we identify the end behavior of a polynomial functions.
polynomial functions degree leading term turning points cubic functions quartic functions end behavior -
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an x-intercept.
polynomial functions leading term end behavior x intercepts -
Evaluating the Tangent Function
Precalculus Trigonometric Functions
How to evaluate the tangent of 3*pi/4.
tangent quadrants reference angles -
Find an Equation of the Polynomial Function
Precalculus Polynomial and Rational Functions
How we identify the equation of a polynomial function when we are given the intercepts of its graph.
polynomial functions cubic functions x intercepts factors end behavior leading coefficient stretch factor -
Evaluating a Logarithmic Expression in terms of Known Quantities
Precalculus Exponential and Logarithmic Functions
How to break up a logarithm of a large number.
product rule of logs quotient rule of logs expand -
Evaluating Sine and Cosine at Special Acute Angles
Precalculus Trigonometric Functions
How do we measure sine and cosine of pi/4?
sine cosine unit circle definitions of sine and cosine angles in standard position -
Evaluating Sine and Cosine at Other Special Angles
Precalculus Trigonometric Functions
How to measure the sine and cosine of 150.
sine cosine unit circle definitions of sine and cosine angles in standard position reference angles -
The Greatest Integer Function
Precalculus Introduction to Functions
How to evaluate the greatest integer function.
the greatest integer function the floor function step functions parent functions -
Introduction to Rational Functions
Precalculus Polynomial and Rational Functions
How to define rational functions, and how to identify their domain and zeros.
rational functions polynomials domain zeros -
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros -
Limits at a Glance
Precalculus Polynomial and Rational Functions
How to quickly find the limit of a rational function as x goes to infinity.
rational functions polynomials degree limits infinity -
Graphing Rational Functions, n less than m
Precalculus Polynomial and Rational Functions
How to recognize when y = 0 is the horizontal asymptote of a rational function.
rational functions polynomials degree horizontal asymptote -
Graphing Rational Functions, n=m
Precalculus Polynomial and Rational Functions
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
rational functions polynomials degree horizontal asymptote -
Graphing Rational Functions, n>m
Precalculus Polynomial and Rational Functions
How to find the oblique asymptote of a rational function, if it has one.
rational functions polynomials degree horizontal asymptote -
Change of Base Formula
Precalculus Exponential and Logarithmic Functions
How to use the change of base formula for logs to evaluate a logarithmic statement.
change of base log logarithm -
Properties of Logarithms
Precalculus Exponential and Logarithmic Functions
How to evaluate logarithms when the argument is a recognizable power of the base.
logarithmic functions exponential functions inverse functions identities the common logarithm -
Using the Inverse Trigonometric Functions
Precalculus Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(-1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle -
Limits of Rational Functions
Precalculus Polynomial and Rational Functions
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
rational functions limits infinity
