FOIL - Algebra 2
Card 0 of 284
Use FOIL to distribute the following:
Use FOIL to distribute the following:
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Make sure you keep track of negative signs when doing FOIL, especially when doing the Outer and Inner steps.
Make sure you keep track of negative signs when doing FOIL, especially when doing the Outer and Inner steps.
Use FOIL to distribute the following:
Use FOIL to distribute the following:
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When the 2 terms differ only in their sign, the 
-term drops out from the final product.
When the 2 terms differ only in their sign, the
Evaluate 
Evaluate
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In order to evaluate 
one needs to multiply the expression by itself using the laws of FOIL. In the foil method, one multiplies in the following order: first terms, outer terms, inner terms, and last terms.
Multiply terms by way of FOIL method.
Now multiply and simplify.
In order to evaluate
Multiply terms by way of FOIL method.
Now multiply and simplify.
Expand this expression:
Expand this expression:
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Use the FOIL method (First, Outer, Inner, Last):
Put all of these terms together:
Combine like terms:
Use the FOIL method (First, Outer, Inner, Last):
Put all of these terms together:
Combine like terms:
Simplify:
Simplify:
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FOIL 
.
FOIL
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(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
(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
Foil:
Foil:
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First: 
Outside: 
Inside: 
Last: 
First:
Outside:
Inside:
Last:
Use FOIL method to expand the product.
Use FOIL method to expand the product.
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Remember that FOIL stands for First, Outside, Inside, Last.
Multiply using FOIL and group like terms.
Remember that FOIL stands for First, Outside, Inside, Last.
Multiply using FOIL and group like terms.
Expand the following expression:
Expand the following expression:
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Expand the expression 
using the FOIL Method:
FIRST: 
OUTER: 
INNER: 
LAST: 
Therefore:
Expand the expression
FIRST:
OUTER:
INNER:
LAST:
Therefore:
Simplfy and combine like terms:
Simplfy and combine like terms:
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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:
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:
Expand the following binomial product:
Expand the following binomial product:
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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:
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:
Expand the following binomial product:
Expand the following binomial product:
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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:
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:
Expand the following binomial product:
Expand the following binomial product:
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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:
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:
Simplify the expression using FOIL:
Simplify the expression using FOIL:
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FOIL is a helpful way to remember how to multiply terms when we are multiplying two binomials.
F stands for first. We multiply the two "first" terms in each of the binomials.
O stands for outer. We multiply the outermost terms in the expression.
I stands for inner. We multiply the innermost terms in the expression.
L stands for last. We multiply the two "last" terms in each of the binomials.
F - 
O - 
I - 
L - 
Now we combine each part using addition to get:
The two terms in the middle can be combined to get our final answer:
FOIL is a helpful way to remember how to multiply terms when we are multiplying two binomials.
F stands for first. We multiply the two "first" terms in each of the binomials.
O stands for outer. We multiply the outermost terms in the expression.
I stands for inner. We multiply the innermost terms in the expression.
L stands for last. We multiply the two "last" terms in each of the binomials.
F -
O -
I -
L -
Now we combine each part using addition to get:
The two terms in the middle can be combined to get our final answer:
Use FOIL: 
Use FOIL:
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Recall that using FOIL means multiplying the first terms, then the outside terms, next the inside terms, and finally, the last terms. Therefore, after multiplying all of those, you should get: 
. Combine your like terms to get a final answer of: 
.
Recall that using FOIL means multiplying the first terms, then the outside terms, next the inside terms, and finally, the last terms. Therefore, after multiplying all of those, you should get:
Use FOIL: 
Use FOIL:
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Recall that FOIL means multiplying the first terms, then outside terms, next inside terms, and then the last terms. Therefore, when you do those steps, you get: 
. Simplify the middle terms to get your answer of 
.
Recall that FOIL means multiplying the first terms, then outside terms, next inside terms, and then the last terms. Therefore, when you do those steps, you get:
Solve: 
Solve:
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Solve by using the FOIL method.
Simplify the expression given.
Simplify the terms. To multiply a fraction with another number, multiply the numerator with the whole number.
The answer is: 
Solve by using the FOIL method.
Simplify the expression given.
Simplify the terms. To multiply a fraction with another number, multiply the numerator with the whole number.
The answer is:
A cookie company typically sells 150 cookies per week for $1 each. For every $0.05 reduction in cookie price, the company sells 5 additional cookies per week. How much should the company charge per cookie in order to maximize their profits?
A cookie company typically sells 150 cookies per week for $1 each. For every $0.05 reduction in cookie price, the company sells 5 additional cookies per week. How much should the company charge per cookie in order to maximize their profits?
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This function can be expanded as
where
x=number of $0.05 changes to the initial price which will maximize potential revenue.
Since we are seeking to maximize profit, we need to find the point in this function, where a given number, x, of changes to the original price yields the greatest additional profit by balancing the additional revenue per cookie with the $0.05 decrease in cost.
In other words, we are seeking the vertex of this parabola.
First we convert the profit function into quadratic form by FOILing:
rearranging this, we find that:
Recall that
So, in order to maximize profits, we should reduce each cookie's cost by $.05 5 times.
We should sell each cookie for $0.75
This function can be expanded as
where
x=number of $0.05 changes to the initial price which will maximize potential revenue.
Since we are seeking to maximize profit, we need to find the point in this function, where a given number, x, of changes to the original price yields the greatest additional profit by balancing the additional revenue per cookie with the $0.05 decrease in cost.
In other words, we are seeking the vertex of this parabola.
First we convert the profit function into quadratic form by FOILing:
rearranging this, we find that:
Recall that
So, in order to maximize profits, we should reduce each cookie's cost by $.05 5 times.
We should sell each cookie for $0.75
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To solve this problem, recall that you will be using the FOIL method to mutlply these binomials: 
. Then, combine like terms to get your answer: 
.
To solve this problem, recall that you will be using the FOIL method to mutlply these binomials:
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To multiply these binomials, use the FOIL method: 
. Combine like terms to get your answer of 
.
To multiply these binomials, use the FOIL method: