<p> Foil Method of Multiplying Binomials</p><p>1. Multiply the First terms of each binomial. 2. Multiply the Inside terms and Outside terms of the product. Combine like terms. 3. Multiply the Last two terms of each binomial.</p><p>F L F L F O I L Multiply using FOIL: (x + 3 ) ( x + 2) = _ x 2_ +2x_ _+3x_ _+6_ = x2 + 5x + 6 O I I O</p><p>Notice that the two inside terms are like terms that can be added together. This method is known as the FOIL method. It gets its name from the process:</p><p>Try these. 4x+ 5x</p><p>1. (x + 4) ( x + 5 ) = _ x 2_ __+9x_ __+20 = x2 + 9x + 20</p><p>2. (x + 1) ( x + 3 ) = ______</p><p>3. (x + 7) ( x + 3 ) = ______</p><p>4. (x + 5) ( x + 6 ) = ______</p><p>5. (x + 8) ( 2x + 9 ) = ______</p><p>35x+7x 6. (5x + 6) ( x + 7 ) = _ 5x 2_ _+41x _+42_ = 5x2 + 41x + 42</p><p>7. (x + 2) ( 3x + 5 ) = ______</p><p>8. (3x + 8) ( 5x + 6 ) = ______</p><p>9. (x - 5) ( x – 4 ) = ______</p><p>10. (x - 8) (x – 3 ) = ______</p><p>11. (x - 2) (x – 4 ) = ______</p><p>12. (2x - 1) (x – 3 ) = ______</p><p>13. ( x - 5) (3x – 4 ) = ______</p><p>14. (2x – 3) (4x – 5) = ______</p><p>15. (2x - 5) ( 3x – 4 ) = ______</p><p>16. (2x - 5) ( x – 4 ) = ______</p><p>DIFFERENT SIGNS: +5x – 4x</p><p>1. (x - 4) ( x + 5 ) = _ x 2_ __+1x__ __-20__ = x2 + x - 20 2. (x + 1) ( x - 3 ) = ______</p><p>3. (x - 7) ( x + 3 ) = ______</p><p>4. (x + 5) ( x - 6 ) = ______</p><p>5. (x - 8) ( 2x + 9 ) = ______</p><p>6. (5x + 6) ( x - 7 ) = ______</p><p>7. (x - 2) ( 3x + 5 ) = ______</p><p>8. (3x + 8) ( 5x - 6 ) = ______</p><p>9. (x + 5) ( x – 4 ) = ______</p><p>10. (x - 8) ( x + 3 ) = ______</p><p>11. (x + 2) ( x – 4 ) = ______</p><p>12. (2x - 1) ( x + 3 ) = ______</p><p>13. ( x + 5) (3x – 4 ) = ______</p><p>14. (2 x – 3) (4 x + 5) = ______</p><p>15. (2x - 5) ( 3x + 4 ) = ______</p><p>16. (2x + 5) ( x – 4 ) = ______</p><p>17. ( x+ 3) ( x – 3) = ______</p><p>18. ( x+ 4) ( x – 4) = ______</p><p>19. ( x - 2 ) ( x + 2) = ______</p><p>20. ( x+ 7) ( x – 7) = ______</p><p>21. ( x – 9 ) ( x + 9 ) = ______</p><p>Evaluate for the given value(s) of the variable:</p><p>1. x2 + 4x - 5 for x = 2 2. 3x2 - 3x for x = -2 3. -2x2 - 4x + 5 for x = -3</p><p>4. x2 - 3xy + y2 for x = -1, y = 2 5. 2xy - x2 - 2y for x = -2, y = 3 </p><p>H.W. Finish worksheet and Pg 218: odds 47-53; Pg 250: 1, 2, 3 (ans.to 2: 85) (034) Multiply using FOIL: Pg. 243: all 5-10, 13, 23, 24, all 37-41, 51, 52</p>