# GED Math : Quadratic Equations

## Example Questions

### Example Question #71 : Quadratic Equations

Multiply

Explanation:

Even though the expression uses letters in the place where it is common to find numbers, we should recognize it is still the multiplication of two binomials, and the FOIL process can be used here.

F:

O:

I:

L:

So we have

### Example Question #72 : Quadratic Equations

Expand the expression

Explanation:

You can use the FOIL method to expand the expression

F:First

O: Outer

I: Inner

L:Last

L-Last

F:

O:

I:

L:

### Example Question #73 : Quadratic Equations

Simplify the following with FOIL

Explanation:

Remember, FOIL stands for First-Outer-Inner-Last

Multiply the first terms

Multiply the outer terms

Multiply the inner terms

Multiply the last terms

Now we simply add them all together

And combine like-terms

### Example Question #74 : Quadratic Equations

Expand:

None of the above

Explanation:

We distribute each term in each parentheses to the terms of the other parentheses.

We get:

Which Simplifies:

We will arrange these from highest to lowest power, and adding a sign in between terms based on the coefficient of each term:

### Example Question #75 : Quadratic Equations

Explanation:

This is a quadratic equation, but it is not in standard form.

We express it in standard form as follows, using the FOIL technique:

Now factor the quadratic expression on the left. It can be factored as

where .

By trial and error we find that , so

can be rewritten as

.

Set each linear binomial equal to 0 and solve separately:

The solution set is .

### Example Question #76 : Quadratic Equations

Subtract:

Explanation:

can be determined by subtracting the coefficients of like terms. We can do this vertically as follows:

By switching the symbols in the second expression we can transform this to an addition problem, and add coefficients:

### Example Question #391 : Algebra

Explanation:

can be determined by adding the coefficients of like terms. We can do this vertically as follows:

### Example Question #392 : Algebra

Which of the following expressions is equivalent to the product?

Explanation:

Use the difference of squares pattern

with  and  :

### Example Question #393 : Algebra

Which of the following expressions is equivalent to the product?

Explanation:

Use the difference of squares pattern

with  and  :

Simplify: