<PRE><B>Question 764308</B>
Discuss any particular challenges those particular polynomials posed for the factoring. 
w^2+30w+81
Use reverse-FOIL; also called the AC Method
AC = 3*27
B = 3+27
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Rewrite:
w^2 + 3w + 27w + 81
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w(w+3) + 27(w+3)
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= (w+3)(w+27)
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ax+xc+aw^2+xw^2
Note: Probably has a typo.
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10a^2-27ab+5b^2
AC =-25*-2 
B = -25+-2
Rewrite:
10a^2 -25ab-2ab + 5b^2
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5a(2a-5b) - b(2a-5b)
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(2a-5b)(5a-b)
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Cheers,
Stan H.
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