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Multiplying Binomials Using FOIL
The FOIL method shows us how to multiply two binomials together using the acronym  F irst,  O uter,  I nner,  L ast. Remember binomials are polynomials with two terms. For example, x +2 or 3x -8
(x + 3)(2x + 6) F irst stands for the first term in each binomial. x(2x) In this case we will multiply
(x + 3)(2x + 6) O uter stands for the two outside terms in each binomial. x(6) In this case we will multiply
(x + 3)(2x + 6) I nner stands for the two inside terms in each binomial. 3(2x) In this case we will multiply
(x + 3)(2x + 6) L ast stands for the  last two in each binomial.  In this case it will be 3(6) In this case we will multiply
All together this looks like  ,[object Object],(x + 3)(2x + 6) x(2x) =2x 2 O uter x(6) = 6x I nner 3(2x) = 6x L ast 3(6) = 18 Combine  Like Terms (x + 3)(2x + 6) =2x 2  + 12x +18 6x + 6x = 12x Final  Answer
Example 1 ,[object Object],(x - 5)(x + 2) X(x) = x 2 O uter x(2) = 2x I nner -5(x) = -5x L ast -5(2) = -10 Combine  Like Terms (x - 5)(x + 2) = x 2  – 3x – 10  2x + -5x = -3x Final  Answer
Example 2 (x - 3)(3x + 1) F irst  x(3x) = 3x 2 O uter x(1) = 1x I nner -3(3x) = -9x L ast -3(1) = -3 Combine  Like Terms (x - 3)(3x + 1) =3x 2  – 8x – 3  1x + -9x = -8x Final  Answer

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21.1 Foil

  • 2. The FOIL method shows us how to multiply two binomials together using the acronym F irst, O uter, I nner, L ast. Remember binomials are polynomials with two terms. For example, x +2 or 3x -8
  • 3. (x + 3)(2x + 6) F irst stands for the first term in each binomial. x(2x) In this case we will multiply
  • 4. (x + 3)(2x + 6) O uter stands for the two outside terms in each binomial. x(6) In this case we will multiply
  • 5. (x + 3)(2x + 6) I nner stands for the two inside terms in each binomial. 3(2x) In this case we will multiply
  • 6. (x + 3)(2x + 6) L ast stands for the last two in each binomial. In this case it will be 3(6) In this case we will multiply
  • 7.
  • 8.
  • 9. Example 2 (x - 3)(3x + 1) F irst x(3x) = 3x 2 O uter x(1) = 1x I nner -3(3x) = -9x L ast -3(1) = -3 Combine Like Terms (x - 3)(3x + 1) =3x 2 – 8x – 3 1x + -9x = -8x Final Answer