#Multiplying or factoring polynomials with two variables

8 messages · Page 1 of 1 (latest)

lucid sand
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I want to write Axy + Bx + Cy (A, B, C are very small) as a product of two polynomials for example (am + bn + c)(do + ep + f) so when expanded, it can be rewritten as the first expression

In my specific case A=2, B=11 and C=1
Is this possible?

compact onyxBOT
sour tusk
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axy+bx+cy=d. I’ve seen it done as a binomial, (ax+c) (ay+b) = ad + bc

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Not too sure if u can factor it as two polynomials though

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@lucid sand

lucid sand
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That is completing the rectangle
What I'm trying to do is factor Axy + Bx + Cy = D as such: (...)(...) = D, because in my case factors of D are known while ad + bc can be very large
Specifically, Axy + Bx + y = D because i will always have c=1 here

gleaming jasper
worldly marsh
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that is not a way to solve it, the reason why we have to use =0 is because we know then the (ax+b)(cx+d) will the guarantee root of the function