Practice
Find the solution to the following problem.
3x219x + x2-x
x2-25 (x+5)(x-5)
4x2-20x or 4x x ≠ -5,5
(x+5)(x-5) x+5
What is factoring?
This is how you find the restrictions of a rational function.
What is setting each factor in the denominator equal to zero?
This is the date of the quiz.
What is on Tuesday, April 8th?
The correct spelling of the name of the student intern.
Who is Ms. Deffenbaugh?
Find the product of the following problem.
x2-6x+8 x 10
2x-2 x-4
10(x-2) or 5(x-2) x ≠ 1,4
2(x-1) (x-1)
This is the third and final step of multiplying rational functions (Ms. Deffenbaugh likes to call it the CC rule).
What is Combine & Cancel?
The restrictions of the following problem.
x2+2x-24 x 1
x-4 x2-6x+8
What is x≠2,4?
This is why the denominator cannot equal zero.
What is "because you can't divide by zero"?
This is the school that Ms. Deffenbaugh attends.
What is the University of Central Arkansas (UCA)? #GoBears
Find the difference of the following problem.
7 - 4
x+2 x-5
3x-43 x ≠ -2,5
(x-5)(x+2)
This is the step you need to perform on a division problem right after you factor.
What is flipping the second fraction and changing from division to multiplication?
These are the steps, in order, of multiplying rational functions.
(Hint: These steps were written by authors to a mini book...)
What is factor, write restrictions, and combine & cancel?
This is the only operation where you flip one of the rational functions.
What is division?
This is Ms. Deffenbaugh's two most important rules of math.
(Hint: Rule #1 can cause destruction of something, and Rule #2 is the first step of the process that is your BFF in math)
What is "#1: You can't divide by zero" and "#2: The first step of factoring is to factor out the GCF"?
Find the Least Common Denominator of the following function.
3 - x
x+5 x2+7x+10
What is (x+5)(x+2)?
Free Points! ;)
Free Points! ;)
This is the process of factoring the following expression.
4x2+8x+4
What is factoring out the GCF of 4 (being left with x2+2x+1 in parentheses), then finding factors of 1 that add to be 2? Factored Form: 4(x+1)(x+1).
This is why we have restrictions in rational functions.
What is "because they make the denominator zero, and you can't divide by zero"?
This is the color of Ms. Deffenbaugh's calculator.
What is hot pink?
Find the quotient to the following problem.
2x+2 ÷ 4x2+8x+4
x+2 12x+12
6 x ≠ -2, -1
x+2
This is what you ALWAYS have to include in your final answer.
What are restrictions?
DAILY DOUBLE!
The process of finding the Least Common Denominator
(Answers can vary, try your best to explain it the best you can!)
What is factoring both denominators, then seeing what both denominators will have to be in order to be common?
This is how you tell if a rational function is in its simplest form.
What is a rational function that is completely factored?
This is Ms. Deffenbaugh's first name.
Who is Lilly?