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 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 Practice Test:

#1:

Instructions: Find each product.

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

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

#2:

Instructions: Find each product.

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

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

#3:

Instructions: Find each product.

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

#4:

Instructions: Find each product.

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

#5:

Instructions: Find each product.

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

Written Solutions:

#1:

Solutions:

a) 24n3 + 32n2 - 12n

b) 6x2 - 9xy - 15y2

#2:

Solutions:

a) 30n2 + 16n - 24

b) 2x2 - 11xy + 12y2

#3:

Solutions:

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

#4:

Solutions:

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

#5:

Solutions:

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