1. Solving Fractional Equations
3.4 Day 1
Solving Fractional Equations

2. Find the x intercept of the graph

3. Practice solving Equations

4. Isolating Variables:

5. Solving the Inequalities
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6. Example

7. 3-4 Day 2
Word Problems

8. Work Rate Problems ____________________________________
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9. Jan can tile a floor in 14 hours
Jan can tile a floor in 14 hours. Together, Jan and her helper can tile the same floor together in 9 hours. How long would it take Bill to do the job alone?
Work Rate x Time = Work done

10. Examples
The denominator of a fraction is 1 less than twice the numerator. If 7 is added to both numerator and denominator, the resulting fraction has a value of 7/10. Find the original fraction.

11. Example
A student received grades of 72, 75 and 78 on three tests. What must he score on the next test to average a 80?

12. 3.6 Synthetic Division

13. What is Synthetic Division?
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14. Lets try a problem
Please divide by long division.

15. This is Synthetic Division
This is the equivalent problem in synthetic division form:
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16. This is synthetic Division
Try synthetic Division and see what you get:

17. Here’s another problem with a bit of a twist.
If your last name begins with A-M, do this problem by long division.
If your last name begins with N-Z, do this problem by synthetic division.

18. What did you notice? Answer is doubled.
When there is a number in front of the x, ________________________________________________________________________________________________________________________________________
**One other rule
If one of the x’s are missing plug a zero in its place!

19. 3.6 Day 2 Why Synthetic Division?
What use is this method, besides the obvious saving of time and paper?

20. The Remainder Theorem If is not a factor of F(x), then
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That is

21. The Factor Theorem If is a factor of F(x) then _________
When we talk about roots, it’s the same as zeros. Set equal to zero and solve.

22. How does this apply?
Find F(2) if
Is (x – 2) a factor of

23. Factor Completely and find the roots:

24. Polynomial = ________________
Find the polynomial that has as roots 1, -1 and 7
Polynomial = ________________