multiplying polynomials 13 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 -
Multiplying Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to multiply two complex numbers in trigonometric form.
complex numbers trigonometric form modulus argument -
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 -
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 -
Square Matrices
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
matrices rows columns dimension matrix multiplication