Algebra II : Understanding Quadratic Equations
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #1 : Foil
Evaluate
In order to evaluate 
Multiply terms by way of FOIL method.
Now multiply and simplify.
Example Question #21 : Understanding Quadratic Equations
Simplify:
Example Question #2 : Foil
Foil:
First:
Outside:
Inside:
Last:
Example Question #1 : Foil
FOIL 
(2x + 3)(x + 5)
First: 2x multiplied by x = 2x²
Outer: 2x multiplied by 5 = 10x
Inner: 3 multiplied by x = 3x
Lasts: 3 multiplied by 5 = 15
Put it all together: 2x² + 10x + 3x + 15
Simplify: 2x² + 13x + 15
Example Question #2 : Foil
Use FOIL method to expand the product.
Remember that FOIL stands for First, Outside, Inside, Last.
Multiply using FOIL and group like terms.
Example Question #1 : Foil
Expand the following expression:
Expand the expression 
FIRST:
OUTER:
INNER:
LAST:
Therefore:
Example Question #2 : Foil
Simplfy and combine like terms:
For this problem we need to use FOIL which stands for Firsts, Outters, Inners, Last. This describes the order of distributing and multiplying the binomials.
Firsts gets us
Outters gets us
Inners gets us
Lasts gets us
Rewriting these in an equation form we get:
Now we combine the like terms of -10x and 3x which results in:
Example Question #7 : Foil
Expand the following binomial product:
When multiplying two binomials, you have to remember to multiply using the "FOIL" system (First, Outside, Inside, Last). This means you will need to multiply four different pairs of terms together to get your trinomial.
First, you multiply the first terms in each binomial together:
Outside, you multiply the outside terms together:
(Don't forget the negative sign!)
Inside:
(Don't forget the negative sign here, either!)
Last:
(Don't forget that here, the negative signs cancel.)
Then, you add all of the products together:
Example Question #8 : Foil
Expand the following binomial product:
When multiplying two binomials, you have to remember to multiply using the "FOIL" system (First, Outside, Inside, Last). This means you will need to multiply four different pairs of terms together to get your trinomial.
First, you multiply the first terms in each binomial together:
Outside, you multiply the outside terms together:
(Don't forget the negative sign!)
Inside:
Last:
Then, you add them all together:
Example Question #191 : Intermediate Single Variable Algebra
Expand the following binomial product:
When multiplying two binomials, you have to remember to multiply using the "FOIL" system (First, Outside, Inside, Last). This means you will need to multiply four different pairs of terms together to get your trinomial.
First, you multiply the first terms in each binomial together:
Outside, you multiply the outside terms together:
Inside:
(Don't forget the negative sign!)
Last:
(Don't forget the negative sign here, either!)
Then, you add the products together:
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