FOIL is a mnemonic for finding the product of binomials with like terms. It stands for first, Outer, Inner and Last terms. F L (a + b)(c + d) DO ac + ad + bc + bd Examples: Find each product using the FOIL method. F F I 0 1 1. (x + 2)(x+5)= x2 +5x+2x+10 =x² +7x+10 Combine 5x and 2x O o Combine - 6x and x - TO IL 2. (x+1)(x - 6) = x2 - 6x + x-6 = x² – 58-6 O