The foil acronym is simply a convenient way to

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Unformatted text preview: 2 [Return to Problems] (b) ( 3x + 5 ) ( x - 10 ) This one will use the FOIL method for multiplying these two binomials. 32 30 x 5 50 ( 3x + 5 ) ( x - 10 ) = 1 x3 - 123 + 1 x - 1 3 = 3x 2 - 25 x - 50 2 2 3 2 First Terms Outer Terms Inner Terms Last Terms Recall that the FOIL method will only work when multiplying two binomials. If either of the polynomials isn’t a binomial then the FOIL method won’t work. Also note that all we are really doing here is multiplying every term in the second polynomial by every term in the first polynomial. The FOIL acronym is simply a convenient way to remember this. [Return to Problems] ( ) (c) 4 x 2 - x ( 6 - 3 x ) Again we will just FOIL this one out. ( 4x 2 - x ) ( 6 - 3 x ) = 24 x 2 - 12 x3 - 6 x + 3 x 2 = -12 x3 + 27 x 2 - 6 x [Return to Problems] (d) ( 3 x + 7 y ) ( x - 2 y ) We can still FOIL binomials that involve more than one variable so don’t get excited about these kinds of problems when they arise. ( 3x + 7 y ) ( x - 2 y ) = 3 x 2 - 6 xy + 7 xy - 14 y 2 = 3x 2 + xy - 14 y 2 [Return to Problems] © 2007 Paul Dawkins 28 http://tutorial.math.lamar.edu/terms.asp...
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