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Grade 7 - Mathematics
4.36 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: (4x2+1).(3x+4) = _____?
12x3+16x2+3x+4
12x3-16x2+3x+4
12x3+16x2-3x+4

Q 2: (5x2+3).(7x-2) = _____?
35x3-10x2+21x-6
35x3-10x2-21x+6
35x3+10x2+21x-6

Q 3: (4x2-1).(3x-4) = _____?
12x3+16x2-3x+4
12x3-16x2+3x+4
12x3-16x2-3x+4

Q 4: (9x2+4).(x-2) = _____?
9x3+18x2+4x-8
9x3-18x2+4x-8
9x3-18x2-4x+8

Q 5: (5x2+4).(6x+7) = _____?
32x3+35x2+24x+28
30x3+35x2+24x+28
30x3-35x2+24x+28

Q 6: (5x2-3).(x-9) = _____?
5x3-45x2+3x+27
5x3+45x2-3x+27
5x3-45x2-3x+27

Q 7: (2x2-5).(7x+1) = _____?
14x3-2x2-35x-5
14x3+2x2-35x-5
14x3+2x2-35x+5

Q 8: (5x2-7).(2x+5) = _____?
10x3+25x2-14x-35
10x3+25x2+14x-35
10x3-25x2-14x-35

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Question 10: This question is available to subscribers only!


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