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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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