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Multiplying Polynomials Test

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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