How to Multiply Binomials Using FOIL Method By: Scott Seman
The FOIL Method <ul><li>You must find the sum of the product of these terms </li></ul><ul><ul><li>F stands for the First t...
First let’s start with two binomials. (x+5)*(2x+2)
F OIL using ( x +5)*( 2x +2) <ul><li>For F, X is the first term of the 1st binomial and 2x is the first term of the 2nd bi...
Multiply F terms of ( x +5)*( 2x +2) <ul><li>X * 2x = 2x ² </li></ul>
F. O .I.L. using ( x +5)*(2x+ 2 ) <ul><li>For O, X is the outer term of the 1st binomial and 2 is the outer term of the 2n...
Multiply O terms of ( x +5)*(2x+ 2 ) <ul><li>X * 2 = 2x  </li></ul>
FO I L using (x+ 5 )*( 2x +2) <ul><li>For I, 5 is the inner term of the 1 st  binomial and 2x is the inner term of the 2 n...
Multiply I terms of (x+ 5 )*( 2x +2) <ul><li>5 * 2x = 10x </li></ul>
FOI L  using (x+ 5 )*(2x+ 2 ) <ul><li>For L, 5 is the last term of the 1 st  binomial and 2 is the last term of the 2 nd  ...
Multiply L terms of (x+ 5 )*(2x+ 2 ) <ul><li>5 * 2 = 10 </li></ul>
Add like terms to get answer <ul><li>F terms = 2x ²+ </li></ul><ul><li>O terms =  2x + </li></ul><ul><li>I terms =  10x+ <...
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How to multiply binomials

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How to multiply binomials

  1. 1. How to Multiply Binomials Using FOIL Method By: Scott Seman
  2. 2. The FOIL Method <ul><li>You must find the sum of the product of these terms </li></ul><ul><ul><li>F stands for the First terms </li></ul></ul><ul><ul><li>O stands for the Outside terms </li></ul></ul><ul><ul><li>I stands for the Inner terms </li></ul></ul><ul><ul><li>L stands for the Last terms </li></ul></ul>
  3. 3. First let’s start with two binomials. (x+5)*(2x+2)
  4. 4. F OIL using ( x +5)*( 2x +2) <ul><li>For F, X is the first term of the 1st binomial and 2x is the first term of the 2nd binomial </li></ul>
  5. 5. Multiply F terms of ( x +5)*( 2x +2) <ul><li>X * 2x = 2x ² </li></ul>
  6. 6. F. O .I.L. using ( x +5)*(2x+ 2 ) <ul><li>For O, X is the outer term of the 1st binomial and 2 is the outer term of the 2nd binomial </li></ul>
  7. 7. Multiply O terms of ( x +5)*(2x+ 2 ) <ul><li>X * 2 = 2x </li></ul>
  8. 8. FO I L using (x+ 5 )*( 2x +2) <ul><li>For I, 5 is the inner term of the 1 st binomial and 2x is the inner term of the 2 nd binomial </li></ul>
  9. 9. Multiply I terms of (x+ 5 )*( 2x +2) <ul><li>5 * 2x = 10x </li></ul>
  10. 10. FOI L using (x+ 5 )*(2x+ 2 ) <ul><li>For L, 5 is the last term of the 1 st binomial and 2 is the last term of the 2 nd binomial </li></ul>
  11. 11. Multiply L terms of (x+ 5 )*(2x+ 2 ) <ul><li>5 * 2 = 10 </li></ul>
  12. 12. Add like terms to get answer <ul><li>F terms = 2x ²+ </li></ul><ul><li>O terms = 2x + </li></ul><ul><li>I terms = 10x+ </li></ul><ul><li>L terms = 10 </li></ul><ul><li>(x+5)*(2x+2) = 2x²+12x+10 </li></ul>

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