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(6n^{2} + 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)(2x^{2} - 2x - 3)
#4:
Instructions: Find each product.
a) (14x^{2} - 14x - 4)(10x^{2} - 6x - 9)
#5:
Instructions: Find each product.
a) (4a - b)(5a + 3b)(a^{2} - 2b + 7ab)
Written Solutions:
Solution:
a) 24n^{3} + 32n^{2} - 12n
b) 6x^{2} - 9xy - 15y^{2}
Solution:
a) 30n^{2} + 16n - 24
b) 2x^{2} - 11xy + 12y^{2}
Solution:
a) 20x^{3} - 34x^{2} - 16x + 21
Solution:
a) 140x^{4} - 224x^{3} - 82x^{2} + 150x + 36
Solution:
a) 20a^{4} - 40a^{2}b + 147a^{3}b - 14ab^{2} + 46a^{2}b^{2} + 6b^{3} - 21ab^{3}