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### Grade 7 - Mathematics4.36 Multiplication of Two Binomials - FOIL Method

 The FOIL method is another way to multiply binomials. "FOIL" is an acronym to remember a set of rules to perform this multiplication. To FOIL you multiply together all of the following: F: Firsts O: Outers I: Inners L: Lasts and then you add each of these products. Example: Find the product of (x+2) and (x+3). Solution: Multiply Firsts: x.x = x2 Outers: x.3 = 3x Inners: 2.x = 2x Lasts: 2.3 = 6 Adding: x2 + 3x + 2x + 6 Simplify: x2 + 5x + 6 Example: Find the product of (3x3-5) and (7x-1). Solution: (3x3-5).(7x-1) Multiply Firsts: 3x3 . 7x = 21x4 Outers: 3x3 . -1 = -3x3 Inners: -5.7x = -35x Lasts: -5 . -1 = 5 Adding: 21x4 -3x3 -35x + 5 Directions: Solve the following problems. Also write at least ten examples of your own multiplying two binomials using FOIL method.
 Q 1: (x2+9).(5x+4) = _____?5x3-4x245x+365x3+4x245x-365x3+4x245x+36 Q 2: (5x2-3).(x-9) = _____?5x3+45x2-3x+275x3-45x2-3x+275x3-45x2+3x+27 Q 3: (4x2-1).(3x-4) = _____?12x3+16x2-3x+412x3-16x2-3x+412x3-16x2+3x+4 Q 4: (4x2+1).(3x+4) = _____?12x3-16x2+3x+412x3+16x2-3x+412x3+16x2+3x+4 Q 5: (5x2-7).(2x+5) = _____?10x3+25x2+14x-3510x3-25x2-14x-3510x3+25x2-14x-35 Q 6: (2x2-5).(7x+1) = _____?14x3-2x2-35x-514x3+2x2-35x+514x3+2x2-35x-5 Q 7: (5x2+3).(7x-2) = _____?35x3-10x2+21x-635x3+10x2+21x-635x3-10x2-21x+6 Q 8: (9x2+4).(x-2) = _____?9x3-18x2-4x+89x3+18x2+4x-89x3-18x2+4x-8 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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