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Polynomial and rational functions | Algebra II | Khan Academy

5.0 (0)
9 learners

What you'll learn

This course includes

  • 10 hours of video
  • Certificate of completion
  • Access on mobile and TV

Course content

1 modules • 89 lessons • 10 hours of video

Polynomial and rational functions | Algebra II | Khan Academy

89 lessons • 10 hours
  • Factoring quadratics as (x+a)(x+b) (example 2) | Mathematics II | High School Math | Khan Academy04:20
  • More examples of factoring quadratics with a leading coefficient of 1 | Algebra II | Khan Academy16:30
  • Solving quadratic equations by completing the square | Algebra II | Khan Academy14:06
  • Solving a quadratic equation by factoring | Algebra II | Khan Academy06:22
  • Solving quadratic equations by square roots | Algebra II | Khan Academy11:03
  • How to use the quadratic formula | Polynomial and rational functions | Algebra II | Khan Academy16:32
  • Proof of quadratic formula | Polynomial and rational functions | Algebra II | Khan Academy07:44
  • Quadratic inequalities (visual explanation) | Algebra II | Khan Academy09:52
  • More examples of addition and subtraction of polynomials | Algebra II | Khan Academy16:00
  • Factoring special products | Polynomial and rational functions | Algebra II | Khan Academy10:09
  • Discriminant of quadratic equations | Polynomial and rational functions | Algebra II | Khan Academy10:14
  • Asymptotes of rational functions | Polynomial and rational functions | Algebra II | Khan Academy21:06
  • Another rational function graph example | Algebra II | Khan Academy08:20
  • A third example of graphing a rational function | Algebra II | Khan Academy11:31
  • Polynomial division | Polynomial and rational functions | Algebra II | Khan Academy12:09
  • Simplifying rational expressions introduction | Algebra II | Khan Academy07:28
  • Polynomial divided by monomial | Polynomial and rational functions | Algebra II | Khan Academy04:45
  • Example 1: Factoring a difference of squares with two variables | Algebra II | Khan Academy01:49
  • Example 5: Factoring a fourth degree polynomial using the "perfect square” form | Khan Academy02:25
  • Example: Complex roots for a quadratic | Algebra II | Khan Academy10:15
  • Quadratic inequalities | Polynomial and rational functions | Algebra II | Khan Academy09:49
  • Partial fraction expansion 1 | Partial fraction expansion | Precalculus | Khan Academy11:28
  • Partial fraction expansion 2 | Partial fraction expansion | Precalculus | Khan Academy13:02
  • Partial fraction expansion 3 | Partial fraction expansion | Precalculus | Khan Academy10:35
  • Rational inequalities | Polynomial and rational functions | Algebra II | Khan Academy11:49
  • Rational inequalities 2 | Polynomial and rational functions | Algebra II | Khan Academy13:15
  • Example 3: Multiplying a binomial by a polynomial word problem | Algebra II | Khan Academy04:19
  • Example 3: Factoring quadratics by taking a common factor and grouping | Algebra II | Khan Academy04:46
  • Example 4: Factoring quadratics by taking a negative common factor and grouping | Khan Academy05:17
  • Example 6: Factoring a difference of squares with two variables | Algebra II | Khan Academy02:30
  • Recognizing a perfect square quadratic | Algebra II | Khan Academy03:19
  • Simplifying rational expressions 1 | Polynomial and rational functions | Algebra II | Khan Academy04:12
  • Simplifying rational expressions 2 | Polynomial and rational functions | Algebra II | Khan Academy06:42
  • Simplifying rational expressions 3 | Polynomial and rational functions | Algebra II | Khan Academy03:53
  • Multiplying and dividing rational expressions 1 | Algebra II | Khan Academy03:38
  • Multiplying and dividing rational expressions 2 | Algebra II | Khan Academy04:52
  • Multiplying and dividing rational expressions 3 | Algebra II | Khan Academy04:10
  • Adding and subtracting rational expressions 2 | Algebra II | Khan Academy02:56
  • Adding and subtracting rational expressions 3 | Algebra II | Khan Academy04:37
  • Solving rational equations 1 | Polynomial and rational functions | Algebra II | Khan Academy04:13
  • Solving rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy04:08
  • Solving rational equations 3 | Polynomial and rational functions | Algebra II | Khan Academy04:32
  • Applying rational equations 1 | Polynomial and rational functions | Algebra II | Khan Academy05:26
  • Applying rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy06:00
  • Applying rational equations 3 | Polynomial and rational functions | Algebra II | Khan Academy07:59
  • Binomial theorem combinatorics connection | Algebra II | Khan Academy11:59
  • The parts of polynomial expressions | Polynomial and rational functions | Algebra II | Khan Academy02:36
  • Example 2: Factoring a difference of squares with leading coefficient other than 1 | Khan Academy02:23
  • Example 1: Factoring trinomials with a common factor | Algebra II | Khan Academy05:02
  • Analyzing polynomial manipulations | Polynomial and rational functions | Algebra II | Khan Academy07:38
  • Why synthetic division works | Polynomial and rational functions | Algebra II | Khan Academy07:00
  • Synthetic division | Polynomial and rational functions | Algebra II | Khan Academy05:21
  • Algorithm for mentally computing binomial expansion coefficients | Algebra II | Khan Academy04:59
  • Synthetic division example 2 | Polynomial and rational functions | Algebra II | Khan Academy05:00
  • Dividing polynomials 1 | Polynomial and rational functions | Algebra II | Khan Academy03:20
  • Difference of cubes factoring | Polynomial and rational functions | Algebra II | Khan Academy04:12
  • Polynomial remainder theorem to test factor | Algebra II | Khan Academy03:26
  • Polynomial remainder theorem example | Polynomial and rational functions | Algebra II | Khan Academy03:31
  • Polynomial remainder theorem | Polynomial and rational functions | Algebra II | Khan Academy06:42
  • Polynomial remainder theorem proof | Polynomial and rational functions | Algebra II | Khan Academy05:41
  • Factoring sum of cubes | Polynomial and rational functions | Algebra II | Khan Academy04:46
  • Dividing polynomials with remainders example | Algebra II | Khan Academy02:41
  • Possible number of real roots | Polynomial and rational functions | Algebra II | Khan Academy03:46
  • Intuitive connection between binomial expansion and combinatorics | Algebra II | Khan Academy04:15
  • Fundamental theorem of algebra | Polynomial and rational functions | Algebra II | Khan Academy05:34
  • Constructing a polynomial that has a certain factor | Algebra II | Khan Academy03:39
  • Binomial theorem | Polynomial and rational functions | Algebra II | Khan Academy13:15
  • Factoring 5th degree polynomial to find real zeros | Algebra II | Khan Academy08:02
  • Determining coefficient in binomial expansion | Algebra II | Khan Academy08:41
  • Dividing polynomials with remainders | Polynomial and rational functions | Algebra II | Khan Academy06:23
  • Polynomial end behavior | Polynomial and rational functions | Algebra II | Khan Academy08:10
  • Identifying graph based on roots | Polynomial and rational functions | Algebra II | Khan Academy05:27
  • Pascal's triangle for binomial expansion | Algebra II | Khan Academy08:20
  • Connecting Pascal's triangle to binomial combinatorics | Algebra II | Khan Academy04:06
  • Fundamental theorem of algebra for quadratic | Algebra II | Khan Academy06:35
  • Polynomial end behavior example | Polynomial and rational functions | Algebra II | Khan Academy05:43
  • Discriminant for types of solutions for a quadratic | Algebra II | Khan Academy04:37
  • Factoring and completing square of higher degree expressions | Algebra II | Khan Academy09:33
  • Another polynomial end behavior example | Algebra II | Khan Academy07:04
  • Subtracting rational expressions | Polynomial and rational functions | Algebra II | Khan Academy05:35
  • Polynomial end behavior exercise example | Algebra II | Khan Academy02:34
  • Dividing multivariable polynomial with monomial | Algebra II | Khan Academy03:14
  • Rational equations | Polynomial and rational functions | Algebra II | Khan Academy04:16
  • Extraneous solutions to rational equations | Algebra II | Khan Academy03:03
  • Structure in exponential expression | Polynomial and rational functions | Algebra II | Khan Academy07:19
  • Structure in rational expression | Polynomial and rational functions | Algebra II | Khan Academy04:41
  • Multiplying and simplifying rational expressions | Algebra II | Khan Academy05:05
  • Multiplying polynomials example | Polynomial and rational functions | Algebra II | Khan Academy05:46
  • Adding and subtracting rational expressions | Algebra II | Khan Academy08:15

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