# diving polynomials   39 videos

• #### Multiplying Larger Degree Polynomials using Distributing

##### AlgebraPolynomials

How to multiply higher degree polynomials.

binomial trinomial distributing
• #### Vocabulary of Quadratic Polynomials

How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.

roots x intercepts solutions excluded values zeros function
• #### Vocabulary of Quadratic Polynomials

##### Algebra 2Quadratic Equations and Inequalities

How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.

roots x intercepts solutions excluded values zeros function
• #### Introduction to Rational Functions

##### PrecalculusPolynomial 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

##### PrecalculusPolynomial 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

##### PrecalculusPolynomial 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

##### PrecalculusPolynomial 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

##### PrecalculusPolynomial 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

##### PrecalculusPolynomial and Rational Functions

How to find the oblique asymptote of a rational function, if it has one.

rational functions polynomials degree horizontal asymptote
• #### Factoring: Special Cases Part II

##### AlgebraFactoring

How to factor a third degree polynomial by grouping.

factoring by grouping greatest common factor binomial
• #### Substituting and Evaluating

##### Pre-AlgebraPolynomials

Vocabulary of monomials and polynomials, including non-examples

• #### Classifying and Naming

##### Pre-AlgebraPolynomials

Vocabulary of classifying polynomials by degree and number of terms

• #### Distributing

##### Pre-AlgebraPolynomials

Distributing a constant, variable, or negative over a polynomial

• #### Basic Transformations

##### Algebra 2Polynomials

How to understand basic transformations of a polynomial graph.

transformation vertical shift flip
• #### Review of the Methods of Factoring

##### Algebra 2Factoring

How to use the different methods to factor a polynomial.

factoring greatest common factor grouping factoring trinomials different of cubes sum of cubes
• #### Using Synthetic Division to Factor

##### Algebra 2Factoring

How to factor a polynomial using synthetic division

synthetic division factoring remainder
• #### Using Synthetic Division to Solve an Equation

##### Algebra 2Factoring

How to use synthetic division to solve a polynomial equation.

synthetic division solving
• #### The Second Derivative Test for Relative Maximum and Minimum

##### CalculusApplications of the Derivative

How to show that polynomial functions are continuous functions.

• #### Evaluating Limits Algebraically, Part 2

##### CalculusLimits and Continuity

How to evaluate the limit of a function at points where it is not continuous.

limits definition of continuous function domain of a function rational functions factoring polynomials holes