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Multiplying Polynomials Test
About Multiplying Polynomials:

When we multiply two polynomials together, we use our associative, commutative, and distributive properties, along with our rules for exponents. To multiply two binomials together quickly, we use a shortcut known as FOIL. Lastly, when we multiply more than two polynomials, we find the product of any two first, and continue multiplying until we have our product.

Test Objectives:

•Demonstrate the ability to find the product of a two polynomials

•Demonstrate the ability to find the product of two binomials using FOIL

•Demonstrate the ability to find the product of more than two polynomials

Multiplying Polynomials Test:




#1:


Instructions: Find each product.


a) 4n(6n2 + 8n - 3)


b) (2x - 5y)(3x + 3y)


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#2:


Instructions: Find each product.


a) (6n - 4)(5n + 6)


b) (x - 4y)(2x - 3y)


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#3:


Instructions: Find each product.


a) (10x - 7)(2x2 - 2x - 3)


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#4:


Instructions: Find each product.


a) (14x2 - 14x - 4)(10x2 - 6x - 9)


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#5:


Instructions: Find each product.


a) (4a - b)(5a + 3b)(a2 - 2b + 7ab)


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Written Solutions:




#1:


Solution:


a) 24n3 + 32n2 - 12n


b) 6x2 - 9xy - 15y2


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#2:


Solution:


a) 30n2 + 16n - 24


b) 2x2 - 11xy + 12y2


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#3:


Solution:


a) 20x3 - 34x2 - 16x + 21


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#4:


Solution:


a) 140x4 - 224x3 - 82x2 + 150x + 36


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#5:


Solution:


a) 20a4 - 40a2b + 147a3b - 14ab2 + 46a2b2 + 6b3 - 21ab3


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