All Algebra 1 Resources
Example Question #32 : Quadratic Equations
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 in the first parentheses by the and 8 in the second parentheses respectively to get
Multiply the in the first parentheses by the and 8 in the second parentheses as well to give us .
Then add them together to get
Combine like terms to find the answer which is .
Example Question #1 : Distributive Property
Simplify the following expression.
Simplify using FOIL method.
Remember that multiplying variables means adding their exponents.
Combine the terms. Note that we cannot simplify further, as the exponents do not match and cannot be combined.
Example Question #2 : Distributive Property
Example Question #3 : Distributive Property
What are the factors of ?
To find the factors, you must determine which of the sets of factors result in the polynomial when multiplied together. Using the FOIL method, a set of factors with the form will result in . Applying this format to the given equation of , must equal 11 and must equal 24. The only set that works is .
Example Question #4 : Distributive Property
If you use the FOIL method, you will multiply each expression individually. So, becomes , which simplifies to .
Example Question #5 : Distributive Property
Simplify the expression below.
Use the distributive property to simplify the expression. In general, .
Now we can begin to combine like terms through multiplication.
We cannot simplify further.
Example Question #34 : Quadratic Equations
Multiply the binomials below.
The FOIL method yields the products below.
Add these four terms, and combine like terms, to obtain the product of the binomials.
Example Question #35 : Quadratic Equations
Factor the expression below.
First, factor out an , since it is present in all terms.
We need two factors that multiply to and add to .
Our factors are and .
We can check our answer using FOIL to get back to the original expression.
Add together and combine like terms.
Distribute the that was factored out first.
Example Question #6 : Distributive Property
Example Question #7 : Distributive Property
To expand , use the FOIL method, where you multiply each expression individually and take their sum. This will give you