Polynomial and rational functions | Algebra II | Khan Academy (English)

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Polynomial and rational functions | Algebra II | Khan Academy
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Lecture Description of this above Topic:

Lecture 1: Analyzing polynomial manipulations

Lecture 2: Why synthetic division works

Lecture 3: Polynomial end behavior example

Lecture 4: Recognizing a perfect square quadratic

Lecture 5: Discriminant for types of solutions for a quadratic

Lecture 6: Synthetic division

Lecture 7: Factoring quadratics as (x+a)(x+b) (example 2)

Lecture 8: Algorithm for mentally computing binomial expansion coefficients

Lecture 9: Asymptotes of rational functions

Lecture 10: Rational inequalities 2

Lecture 11: Solving a quadratic equation by factoring

Lecture 12: Synthetic division example 2

Lecture 13: Multiplying and dividing rational expressions 1

Lecture 14: Adding and subtracting rational expressions 2

Lecture 15: Solving quadratic equations by square roots

Lecture 16: Solving rational equations 3

Lecture 17: Factoring and completing square of higher degree expressions

Lecture 18: Partial fraction expansion 2

Lecture 19: Simplifying rational expressions introduction

Lecture 20: Dividing polynomials 1

Lecture 21: Partial fraction expansion 3

Lecture 22: Applying rational equations 3

Lecture 23: Factoring special products

Lecture 24: Difference of cubes factoring

Lecture 25: Applying rational equations 2

Lecture 26: Polynomial division

Lecture 27: Another polynomial end behavior example

Lecture 28: Example 1: Factoring trinomials with a common factor

Lecture 29: Adding and subtracting rational expressions 3

Lecture 30: Polynomial remainder theorem to test factor

Lecture 31: Discriminant of quadratic equations

Lecture 32: Polynomial remainder theorem example

Lecture 33: Polynomial remainder theorem

Lecture 34: Polynomial remainder theorem proof

Lecture 35: Example 3: Factoring quadratics by taking a common factor and grouping

Lecture 36: The parts of polynomial expressions

Lecture 37: Solving rational equations 2

Lecture 38: Another rational function graph example

Lecture 39: Partial fraction expansion 1

Lecture 40: Factoring sum of cubes

Lecture 41: Polynomial divided by monomial

Lecture 42: Dividing polynomials with remainders example

Lecture 43: Simplifying rational expressions 1

Lecture 44: Subtracting rational expressions

Lecture 45: Solving rational equations 1

Lecture 46: Example 6: Factoring a difference of squares with two variables

Lecture 47: Polynomial end behavior exercise example

Lecture 48: Dividing multivariable polynomial with monomial

Lecture 49: Quadratic inequalities

Lecture 50: More examples of addition and subtraction of polynomials

Lecture 51: Rational inequalities

Lecture 52: Possible number of real roots

Lecture 53: Intuitive connection between binomial expansion and combinatorics

Lecture 54: Solving quadratic equations by completing the square

Lecture 55: Rational equations

Lecture 56: Example 3: Multiplying a binomial by a polynomial word problem

Lecture 57: Extraneous solutions to rational equations

Lecture 58: Example 4: Factoring quadratics by taking a negative common factor and grouping

Lecture 59: Fundamental theorem of algebra

Lecture 60: Example: Complex roots for a quadratic

Lecture 61: Simplifying rational expressions 2

Lecture 62: Constructing a polynomial that has a certain factor

Lecture 63: More examples of factoring quadratics with a leading coefficient of 1

Lecture 64: Simplifying rational expressions 3

Lecture 65: Multiplying and dividing rational expressions 2

Lecture 66: Applying rational equations 1

Lecture 67: Structure in exponential expression

Lecture 68: Multiplying and dividing rational expressions 3

Lecture 69: How to use the quadratic formula

Lecture 70: Binomial theorem

Lecture 71: Example 2: Factoring a difference of squares with leading coefficient other than 1

Lecture 72: Structure in rational expression

Lecture 73: Factoring 5th degree polynomial to find real zeros

Lecture 74: Example 5: Factoring a fourth degree polynomial using the "perfect square” form

Lecture 75: Determining coefficient in binomial expansion

Lecture 76: A third example of graphing a rational function

Lecture 77: Dividing polynomials with remainders

Lecture 78: Proof of quadratic formula

Lecture 79: Polynomial end behavior

Lecture 80: Example 1: Factoring a difference of squares with two variables

Lecture 81: Identifying graph based on roots

Lecture 82: Pascal's triangle for binomial expansion

Lecture 83: Connecting Pascal's triangle to binomial combinatorics

Lecture 84: Multiplying and simplifying rational expressions

Lecture 85: Binomial theorem combinatorics connection

Lecture 86: Quadratic inequalities (visual explanation)

Lecture 87: Multiplying polynomials example

Lecture 88: Adding and subtracting rational expressions

Lecture 89: Fundamental theorem of algebra for quadratic