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# Factoring the third degree polynomial

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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

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### Factoring the third degree polynomial

1. 1. Factoring 3rd degree polynomials course offered by www.winpossible.com
2. 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. 3. Factoring 3rd degree polynomials (continued) Example: Factor the following polynomials. a) x3 + 64y3 b) 8x3 – 125y3
4. 4. Factoring 3rd degree polynomials (continued) Example: Factor the following polynomials. c) 27x3 – 64y3 d) (x + 2)3 + 1
5. 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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