Posted by Ami on Sunday, May 30, 2010 at 5:45pm.
Arrange the polynomial in decreasing power of r:
18r^2 + 12ry - 3xr - 2xy
=18r² + (12y-3x)r -2xy
Do a mental long division,
The first term is:
18r²/(6r) = 3r
The last term is:
-2xy/(-x) = 2y
Therefore the answer is 3r+2y.
Check:
(6r-x)(3r+2y)
=18r² + (12y-3x)r -2xy
The other factor is correct.
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