rationalizing roots 15 videos
-
Finding the Roots of a Complex Number
Precalculus Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the cube roots of a complex number.
complex numbers trigonometric form complex roots cube roots modulus argument -
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 -
More Roots of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to find the roots of a complex number quickly using four simple guidelines.
complex numbers trigonometric form complex roots modulus argument -
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 -
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 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 -
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 -
Graphs with Holes
Precalculus Polynomial and Rational Functions
How to graph a rational function when there is a common factor in the numerator and denominator
rational functions factors holes -
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 -
Binomial Theorem
Precalculus Topics in Discrete Math
How to define factorial expressions used in the binomial theorem.
square root -
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 -
Finding the Domain of a Function
Precalculus Introduction to Functions
How to find the domain of a function when it has rational or radical expressions.
functions domain parent functions inequalities interval notation -
The Transformation y = f(bx)
Precalculus Introduction to Functions
How determine what transformation the graph y = f(bx) represents when b > 1.
the square root function horizontal shift horizontal compression compression factor endpoint -
Parametric Equations and Motion
Precalculus Vectors and Parametric Equations
How to graph a parametric curve, and how to eliminate the parameter to obtain a rectangular equation for the curve.
position time parametric equations path rectangular equation eliminating the parameter square root function direction of motion -
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