GED Math : Quadratic Equations
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Example Questions
Example Question #42 : Foil
Multiply
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 #43 : Foil
Expand the expression
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 #41 : Foil
Simplify the following with FOIL
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 #71 : Quadratic Equations
Expand:
None of the above
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:
So, the answer is
Example Question #1 : Simplifying Quadratics
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 
can be rewritten as
Set each linear binomial equal to 0 and solve separately:
The solution set is 
Example Question #72 : Quadratic Equations
Subtract:
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 #73 : Quadratic Equations
Add:
can be determined by adding the coefficients of like terms. We can do this vertically as follows:
Example Question #4 : Simplifying Quadratics
Which of the following expressions is equivalent to the product?
Use the difference of squares pattern
with 
Example Question #74 : Quadratic Equations
Which of the following expressions is equivalent to the product?
Use the difference of squares pattern
with 
Example Question #76 : Quadratic Equations
Simplify:
Start by factoring the numerator. Notice that each term in the numerator has an 
Next, factor the terms in the parentheses. You will want two numbers that multiply to 
Next, factor the denominator. For the denominator, we will want two numbers that multiply to 
Now that both the denominator and numerator have been factored, rewrite the fraction in its factored form.
Cancel out any terms that appear in both the numerator and denominator.
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