GED Math : Algebra
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Example Questions
Example Question #23 : Quadratic Equations
Factor completely:
1) First to note in this problem is a common factor of 
2) Factoring an 
3) We now have 
4)
5) Two numbers that add to 2 and have a product of -48 are: 8 and -6
6)
Example Question #24 : Quadratic Equations
Find the values of x in the following:
No solutions
This question can be answered by factoring
Our factors will be in the form
We need to find 
We notice that 
Then:
We need to consider both binomials can equal 0 and satisfy the equation
Example Question #25 : Quadratic Equations
Factor completely:
***
Factor a 4 from each binomial
multiplying 4 x 4 gives the result
Example Question #1 : Foil
Multiply using the FOIL method:
First:
Outside:
Inside:
Last:
Add together:
Example Question #2 : Foil
Multiply:
FOIL:
First:
Outer:
Inner:
Last:
Add these together and combine like terms:
Example Question #3 : Foil
What is the equation that has the following solutions?
This is a FOIL-ing problem. First, set up the numbers in a form we can use to create the function.
Take the opposite sign of each of the numbers and place them in this format.
Multiply the 
Multiply the 
Then add them together to get
Combine like terms to find the answer which is 
Example Question #3 : Foil
Simplify the following expression.
Simplify using FOIL method.
Remember that multiplying variables means adding their exponents.
F:
O:
I:
L:
Combine the terms. Note that we cannot simplify further, as the exponents do not match and cannot be combined.
Example Question #5 : Distributive Property
Multiply the binomials below.
The FOIL method yields the products below.
First:
Outside:
Inside:
Last:
Add these four terms, and combine like terms, to obtain the product of the binomials.
Example Question #4 : Foil
Factor the expression below.
First, factor out an 
We need two factors that multiply to 
Our factors are 
We can check our answer using FOIL to get back to the original expression.
First:
Outside:
Inside:
Last:
Add together and combine like terms.
Distribute the 
Example Question #2 : Foil
Simplify the following expression using the FOIL method:
Using the FOIL method is simple. FOIL stands for First, Outside, Inside, Last. This is to help us make sure we multiply every term correctly looking at the terms inside of each parentheses. We follow FOIL to find the multiplied terms, then combine and simplify.
First, stands for multiply each first term of the seperate polynomials. In this case, 
Inner means we multiply the two inner terms of the expression. Here it's 
Outer means multiplying the two outer terms of the expression. For this expression we have 
Last stands for multiplying the last terms of the polynomials. So here it's 
Finally we combine the like terms together to get
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