Polynomials
Degree of a Polynomial
1) Explanation and practice: http://www.mathsisfun.com/algebra/degree-expression.html
2) Practice: http://www.mathwarehouse.com/algebra/polynomial/degree-of-polynomial.php
2) Practice: http://www.mathwarehouse.com/algebra/polynomial/degree-of-polynomial.php
Adding & Subtracting Polynomials
1) Explanation and practice: http://www.mathsisfun.com/algebra/polynomials-adding-subtracting.html
2) Practice: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/adding_and_subtracting_polynomials
2) Practice: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/polynomial_tutorial/e/adding_and_subtracting_polynomials
Multiplying Polynomials
Dividing polynomials
1) Click on http://www.educreations.com/sr/277EA2 to “join” my Educreations course. I created three videos for another student in your class that you might also find helpful. The titles start with "Eg# Polynomials Division".
2) Synthetic Division (video): https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/dividing_polynomials/v/synthetic-division
3) Synthetic Division: http://www.purplemath.com/modules/synthdiv.htm
4) Practice: http://emathlab.com/Algebra/PolyFunctions/SyntheticDiv.php
5) Practice problems: http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/synthetic/synthetic_division_practice.html
2) Synthetic Division (video): https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/dividing_polynomials/v/synthetic-division
3) Synthetic Division: http://www.purplemath.com/modules/synthdiv.htm
4) Practice: http://emathlab.com/Algebra/PolyFunctions/SyntheticDiv.php
5) Practice problems: http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/synthetic/synthetic_division_practice.html
Factoring polynomials
1) Explanation, textbook style: http://www.purplemath.com/modules/simpfact.htm
2) Video: http://www.youtube.com/watch?v=_BGAOjZzeCI
3) Practice: http://www.regentsprep.org/Regents/math/algtrig/ATV1/RevFactPractice.htm
4) Difference of Squares: http://www.purplemath.com/modules/specfact.htm
5) Sums and Differences of Cubes: http://www.purplemath.com/modules/specfact2.htm
6) Difference of Cubes: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/difference-of-cubes-factoring
2) Video: http://www.youtube.com/watch?v=_BGAOjZzeCI
3) Practice: http://www.regentsprep.org/Regents/math/algtrig/ATV1/RevFactPractice.htm
4) Difference of Squares: http://www.purplemath.com/modules/specfact.htm
5) Sums and Differences of Cubes: http://www.purplemath.com/modules/specfact2.htm
6) Difference of Cubes: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/factoring-higher-deg-polynomials/v/difference-of-cubes-factoring
Binomial Theorem
1) Explanation: http://www.purplemath.com/modules/binomial.htm
2) Explanation & Practice: http://www.mathsisfun.com/algebra/binomial-theorem.html
3) Video: https: https//www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem
4) Video: https://www.youtube.com/watch?v=1pSD8cYyqUo
2) Explanation & Practice: http://www.mathsisfun.com/algebra/binomial-theorem.html
3) Video: https: https//www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomial-theorem
4) Video: https://www.youtube.com/watch?v=1pSD8cYyqUo
Finding asymptotes
In general, the procedure for asymptotes is the following:
- set the denominator equal to zero and solve
- the zeroes (if any) are the vertical asymptotes
- everything else is the domain
- compare the degrees of the numerator and the denominator
- if the degrees are the same, then you have a horizontal asymptote at y = (numerator's leading coefficient) / (denominator's leading coefficient)
- if the denominator's degree is greater (by any margin), then you have a horizontal asymptote at y = 0 (the x-axis)
- if the numerator's degree is greater (by a margin of 1), then you have a slant asymptote which you will find by doing long division
Graphing polynomial functions
1) Simple step-by-step explanation: http://hotmath.com/hotmath_help/topics/graphing-polynomial-functions.html
2) Practice: http://www.regentsprep.org/Regents/math/algtrig/ATE13/HighGraphsPractice.htm
3) Purple Math explanation: http://www.purplemath.com/modules/polyends.htm
4) Video: http://www.youtube.com/watch?v=YyF3Vr1mBuE
5) Entire lesson: http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut35_polyfun.htm
2) Practice: http://www.regentsprep.org/Regents/math/algtrig/ATE13/HighGraphsPractice.htm
3) Purple Math explanation: http://www.purplemath.com/modules/polyends.htm
4) Video: http://www.youtube.com/watch?v=YyF3Vr1mBuE
5) Entire lesson: http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut35_polyfun.htm
Rational Roots Theorem
1) Simple Definition: http://www.mathwords.com/r/rational_root_theorem.htm
2) Textbook style: http://www.purplemath.com/modules/rtnlroot.htm
3) Video: https://www.youtube.com/watch?v=XrmpPMKQRmE
2) Textbook style: http://www.purplemath.com/modules/rtnlroot.htm
3) Video: https://www.youtube.com/watch?v=XrmpPMKQRmE
Remainder Theorem
1) Applying the remainder theorem, lesson: http://learnzillion.com/lessons/3130-apply-the-remainder-theorem-to-simple-division-problems
2) Explanation: http://www.mathsisfun.com/algebra/polynomials-remainder-factor.html
3) Textbook style: http://www.purplemath.com/modules/remaindr.htm
2) Explanation: http://www.mathsisfun.com/algebra/polynomials-remainder-factor.html
3) Textbook style: http://www.purplemath.com/modules/remaindr.htm