# High School Math : Using FOIL

## Example Questions

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### Example Question #281 : Algebra Ii

Evaluate

Explanation:

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.

### Example Question #1 : Using Foil

Evaluate

Explanation:

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.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #3 : Understanding Quadratic Equations

Evaluate

Explanation:

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.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #4 : Understanding Quadratic Equations

Evaluate

Explanation:

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.  Be sure to pay attention to signs.

Multiply terms by way of FOIL method.

Now multiply and simplify, paying attention to signs.

### Example Question #1 : Using Foil

FOIL .

Explanation:

Remember FOIL stands for First Outer Inner Last. That means we can take  and turn it into .

Simplify to get .

### Example Question #1 : Quadratic Equations And Inequalities

FOIL .

Explanation:

is the same thing as .

Remember that FOIL stands for First Outer Inner Last.

For this problem, that would be

Simplify that to .

### Example Question #2 : Quadratic Equations And Inequalities

FOIL .

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify.

### Example Question #3 : Quadratic Equations And Inequalities

FOIL .

Explanation:

Remember that FOIL stands for First Outer Inner Last.

For this problem that would give us:

Simplify:

### Example Question #1 : Simplifying And Expanding Quadratics

Solve the equation for .

Explanation:

Cross multiply.

Set the equation equal to zero.

Factor to find the roots of the polynomial.

and

Evaluate