About 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
#1:
Instructions: Find each product.
a) $$(3n - 5)(4n + 5)$$
b) $$(5m - 4)(4m + 4)$$
Watch the Step by Step Video Solution View the Written Solution
#2:
Instructions: Find each product.
a) $$\left(2x + \frac{5}{3}\right)\left(\frac{9}{4}x+ \frac{1}{5}\right)$$
b) $$\left(-\frac{11}{3}x+ \frac{12}{5}\right)\left(5x + \frac{5}{2}\right)$$
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Find each product.
a) $$(4m - 7n)(-4m + 4n)$$
b) $$(-x + 7y)(-4x - y)$$
Watch the Step by Step Video Solution View the Written Solution
#4:
Instructions: Find each product.
a) $$(8x - 8y)(3x - 2y)$$
b) $$(3m - 5n)(-5m + 3n)$$
Watch the Step by Step Video Solution View the Written Solution
#5:
Instructions: Find each product.
a) $$(3x - 3y)(8x - 5y)(2x - 2y)$$
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
a) $$12n^2 - 5n - 25$$
b) $$20m^2 + 4m - 16$$
Watch the Step by Step Video Solution
#2:
Solutions:
a) $$\frac{9}{2}x^2 + \frac{83}{20}x + \frac{1}{3}$$
b) $$-\frac{55}{3}x^2 + \frac{17}{6}x + 6$$
Watch the Step by Step Video Solution
#3:
Solutions:
a) $$-16m^2 + 44mn - 28n^2$$
b) $$4x^2 - 27xy - 7y^2$$
Watch the Step by Step Video Solution
#4:
Solutions:
a) $$24x^2 - 40xy + 16y^2$$
b) $$-15m^2 + 34mn - 15n^2$$
Watch the Step by Step Video Solution
#5:
Solutions:
a) $$48x^3 - 126x^2y + 108xy^2 - 30y^3$$
