In these slides you’ll learn about Factoring 3rd Degree Polynomials using different possible ways. http://www.winpossible.com/lessons/Algebra_I_Factoring_a_3rd_degree_polynomial.html

1. Factoring 3rd degree polynomials
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2. Factoring 3rd degree polynomials
Use of the inverse of the expansion rules
i. (x + a)(x2 - ax + a2) = x3 + a3
ii. (x – a)(x2 + ax + a2) = x3 – a3
Sometimes expansion rule can also be used
i. (x + y + z)(x2 + y2 + z2 – xy – yz - zx) = x3 + y3 + z3 –3xyz
Example:
x3 - 27 8x3 + 64y3 + z3 - 24xyz

3. Factoring 3rd degree polynomials (continued)
Example:
Factor the following polynomials.
a) x3 + 64y3 b) 8x3 – 125y3

4. Factoring 3rd degree polynomials (continued)
Example:
Factor the following polynomials.
c) 27x3 – 64y3 d) (x + 2)3 + 1

5. Factoring 3rd degree polynomials (continued)
Example:
Factor the following polynomials.
e) x3 + 27y3 + 8z3 –18xyz f) x3 - 8y3 +64z3 + 24xyz

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