Posted by Jordan on Sunday, August 22, 2010 at 4:37pm.
1.)The polynomial 729 x^{3}  1 y^{3} can be factored into the product of two polynomials, A * B where the degree of A is greater than the degree of B. Find A and B.
2.)The polynomial 16 a^{6} + 8 a^{3}b + 1 b^2  49 c^{6} can be factored into the product of two polynomials, A * B where the coefficient of c in A is less than the coefficient of c in B. Find A and B.

math  Reiny, Sunday, August 22, 2010 at 4:55pm
strange wording for a problem that simply could be stated as ...
factor 729x^3  y^3
then
729x^3  y^3 = (9xy)(81x^2 + 9xy + y^2)
so I guess
B is 9xy and
A is 81x^2 + 9xy + y^2
For the second, I will simply factor it, ignoring the strange conditions.
16a^6 + 8a^2b + b^2  49c^6
= (4a^2+b)^2  49c^6 , a difference of squares
= (4a^2 + b + 7c^3)(4a^2 + b  7c^3)

math  Jordan, Sunday, August 22, 2010 at 4:59pm
wow thank you so much! i spent hours on that problem. thanks again for the help.

math  Reiny, Sunday, August 22, 2010 at 5:02pm
I am just curious who is giving you such unusually phrased questions.
Are these from your textbook ?

math  Jordan, Sunday, August 22, 2010 at 5:16pm
It's from a website called WebWork where we do the homework on.
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