How to multiply binomials
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The FOIL method is used to multiply binomials. It involves finding the sum of the products of the first (F), outer (O), inner (I), and last (L) terms of each binomial. As an example, to multiply (x + 5) * (2x + 2): F terms are the product of the first terms, x * 2x = 2x^2 O terms are the product of the outer terms, x * 2 = 2x I terms are the product of the inner terms, 5 * 2x = 10x L terms are the product of the last terms, 5 * 2 = 10 The results are added to get the final product: 2x
How to multiply binomials
- 1. How to Multiply Binomials Using FOIL Method By: Scott Seman
- 2. The FOIL Method You must find the sum of the product of these terms F stands for the First terms O stands for the Outside terms I stands for the Inner terms L stands for the Last terms
- 3. First lets start with two binomials. (x+5)*(2x+2)
- 4. F OIL using ( x +5)*( 2x +2) For F, X is the first term of the 1st binomial and 2x is the first term of the 2nd binomial
- 5. Multiply F terms of ( x +5)*( 2x +2) X * 2x = 2x 族
- 6. F. O .I.L. using ( x +5)*(2x+ 2 ) For O, X is the outer term of the 1st binomial and 2 is the outer term of the 2nd binomial
- 7. Multiply O terms of ( x +5)*(2x+ 2 ) X * 2 = 2x
- 8. FO I L using (x+ 5 )*( 2x +2) For I, 5 is the inner term of the 1 st binomial and 2x is the inner term of the 2 nd binomial
- 9. Multiply I terms of (x+ 5 )*( 2x +2) 5 * 2x = 10x
- 10. FOI L using (x+ 5 )*(2x+ 2 ) For L, 5 is the last term of the 1 st binomial and 2 is the last term of the 2 nd binomial
- 11. Multiply L terms of (x+ 5 )*(2x+ 2 ) 5 * 2 = 10
- 12. Add like terms to get answer F terms = 2x 族+ O terms = 2x + I terms = 10x+ L terms = 10 (x+5)*(2x+2) = 2x族+12x+10