Question 184122
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*[tex \LARGE \text{          }\math w^2 + 30w + 81]


Hint:


*[tex \LARGE \text{          }\math 3 \times 27 = 81]


and


*[tex \LARGE \text{          }\math 3 + 27 = 30]

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*[tex \LARGE \text{          }\math 3x^3y^2-3x^2y^2+3xy^2]


Take *[tex \Large 3xy^2] out:


*[tex \LARGE \text{          }\math (3xy^2)(x^2-x+1)]


*[tex \Large x^2 - x + 1] doesn't factor over *[tex \Large \R] so unless your instructor is asking for complex factors you are done.  Complex factorization would be:


*[tex \LARGE \text{          }\math (3xy^2) \left(x - \frac {1 + i sqrt{3}}{2}\right)\left(x - \frac {1 - i sqrt{3}}{2}\right)]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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