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FOIL Test
About Multiplying two Binomials using FOIL:

When multiplying polynomials, we will often come across the product of two binomials. A common method to solve this problem is known as FOIL. This tells us the order to multiply: first terms, outer terms, inner terms, and last terms. We finish by combining like terms.

Test Objectives:

•Demonstrate the ability to multiply two binomials using FOIL

•Demonstrate the ability to utilize FOIL when multiplying more than two binomials

•Demonstrate the ability to combine like terms

FOIL Test:

#1:

Instructions: Find each product.

a) (3n - 5)(4n + 5)

b) (5m - 4)(4m + 4)

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#2:

Instructions: Find each product.

a)

 ( 2x + 5 ) ( 9x + 1 ) 3 4 5

b)

 ( -11x + 12 ) ( 5x + 5 ) 3 5 2

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#3:

Instructions: Find each product.

a) (4m - 7n)(-4m + 4n)

b) (-x + 7y)(-4x - y)

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#4:

Instructions: Find each product.

a) (8x - 8y)(3x - 2y)

b) (3m - 5n)(-5m + 3n)

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#5:

Instructions: Find each product.

a) (3x - 3y)(8x - 5y)(2x - 2y)

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Written Solutions:

#1:

Solution:

a) 12n2 - 5n - 25

b) 20m2 + 4m - 16

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#2:

Solution:

a)

 9x2 + 83x + 1 2 20 3

b)

 -55x2 + 17x + 6 3 6

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#3:

Solution:

a) -16m2 + 44mn - 28n2

b) 4x2 - 27xy - 7y2

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#4:

Solution:

a) 24x2 - 40xy + 16y2

b) -15m2 + 34mn - 15n2

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#5:

Solution:

a) 48x3 - 126x2y + 108xy2 - 30y3

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