Factoring & Solving Polynomial Equations (Learn Algebra 2)

Learn how to solve polynomial equations through the use of factoring. We discuss numerous examples in this lesson involving sum and difference of 2 cubes, factoring by grouping, as well as factoring when in "quadratic form." This video is one of the lessons in the Learn Algebra 2 Video Course by Mario's Math Tutoring.

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0:39 How to recognize sum and difference of 2 cubes
1:08 Formula for sum and difference of 2 cubes and how to remember
1:40 Introductory example a) Factor x^3 -8
2:31 Example b Factor 27c^3 + 1
3:35 How to solve after factoring
4:00 Example c Factor x^3 + 4x^2 -x + 4
4:09 How to know when to factor by grouping
5:07 How to factor difference of 2 squares
6:43 How to recognize polynomials in "Quadratic Form"
7:27 Example d Factor 49y^4 - 16
8:10 Example e Factor x^6 -x^3 - 12
9:23 Example 1 Factor 4x^3 - 36x
10:18 Example 2 Factor 64x^3 + 1
11:15 Example 3 Factor x^4 - x^2 - 6
12:09 Example 4 Factor 25c^4 - 9d^2
12:53 Example 5 Factor 2x^3 - 4x^2 + 6x - 12
14:03 Example 6 Factor and Solve 2x^2 - 4x^2 - 30x = 0
15:48 Example 7 Factor and Solve c^4 +5c^2 -36 = 0

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