Comparing FOIL vs. Box Method for Multiplying Binomials or Polynomials

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Multiplying Binomials with the FOIL or Box Methods gives different opinions from students and teachers. I thought it might be interesting to see them side-by-side, so YOU can decide what YOU prefer. I see advantages of both FOIL and the Box Method in different situations. What do YOU think?????

00:00:00 (2x+1)(x-5)
00:02:41 (x-3)(5x + 2)
00:04:13 (2x+1)(x^2 + 3x -1)

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Box method for me, I like how it consistently works to keep you organised in the working.

goratron
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Any thoughts on this epic debate? Which works better for you?

mrbrianwhite