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$100 $100 $200 $200 $300 $300 $400 $400 $500 $500

Division of Polynomials

Find all zeros

Graphing

Theorems

Fun Problems

of Polynomi als Find all zeros $100 $100 $200 $200 $300 $300 $400 $400 $500 $500 Fun Graphing Theorems Problems

CATEGORY 1 - $100

CATEGORY 1 - $200

CATEGORY 1 - $300

CATEGORY 1 - $400

CATEGORY 1 - $500 2. From Review Divide (3 x 4 + 2 x 2 - x + 8) by (x - 1)

CATEGORY 2 - $100 1. D. From review Which of the following are possible descriptions of f(x), based on the fact that you only know it has a degree of 3? i. 3 real roots ii. 2 real roots and 1 imaginary root iii. 1 real root and 2 imaginary roots iv. 3 imaginary roots

CATEGORY 2 - $200 10. From review. Find all zeros of the following x 3 – x 2 + 9 x – 9 = 0

CATEGORY 2 - $300 11. From review Find all zeros of the following x 3 + 8 x 2 + 16 x = 0

CATEGORY 2 - $400 1. F. from review 2. Find all complex roots of f f(x) = 2 x 3 + 2 x 2 - x + 6

CATEGORY 2 - $500

CATEGORY 3 - $100 17 2 P(x) = 3 x – 2 x – 5 Find the degree

CATEGORY 3 - $200 Create a polynomial that is symmetric about the origin

CATEGORY 3 - $300 15. On the review Find the end behavior of P(x) = 3 x 3 – 2 x 2 – 2 x – 5

CATEGORY 3 - $400 17. On review Find the relative minimum and relative maximum P(x) = 3 x 3 – 2 x 2 – 2 x – 5

CATEGORY 3 - $500

CATEGORY 4 - $100 Relates to 1. A. on the review Use the remainder theorem to decide if x-3 is a factor of f(x) = 2 x 3 + 2 x 2 - x + 6

CATEGORY 4 - $200 1. E. on review List all the possible rational roots of f(x) = 2 x 3 + 2 x 2 - x + 6

CATEGORY 4 - $300 3. On review Write a quadratic with roots 2 + i and 2 - i

CATEGORY 4 - $400 How many roots does 3 2 x(x + 8)(x - 2)(x + 6) have? Find them.

CATEGORY 4 - $500

CATEGORY 5 - $100 4. On the review Write a cubic function with roots of 4 and 5 i

CATEGORY 5 - $200 7. On review Sketch a graph of a cubic function that has the following properties. If it’s impossible state why. 1 real root 2 real roots 3 real roots 4 real roots

CATEGORY 5 - $300 Draw a graph that has three double roots.

CATEGORY 5 - $400

CATEGORY 5 - $500

CATEGORY 1 - $100

CATEGORY 1 - $200

CATEGORY 1 - $300

CATEGORY 1 - $400

CATEGORY 1 - $500

CATEGORY 2 - $100 i. 3 real roots iii. 1 real root and 2 imaginary roots

CATEGORY 2 - $200

CATEGORY 2 - $300

CATEGORY 2 - $400

CATEGORY 2 - $500

CATEGORY 3 - $100 Degre=17

CATEGORY 3 - $200 You should have created a polynomial that is odd. Your polynomial should have all odd exponents

CATEGORY 3 - $300

CATEGORY 3 - $400 Relative Max. = -4. 66 Relative Min. = -6. 36

CATEGORY 3 - $500 Rel. Max. =7. 51 Rel. Min. = -1. 51

CATEGORY 4 - $100 f(3)=75 so according to the remainder theorem x-3 is not a factor of f(x)

CATEGORY 4 - $200

CATEGORY 4 - $300

CATEGORY 4 - $400

CATEGORY 4 - $500

CATEGORY 5 - $100

CATEGORY 5 - $200 Answers will vary. Must refer to complex zeros theorem

CATEGORY 5 - $300 Answers will vary.

CATEGORY 5 - $400

CATEGORY 5 - $500 x=0 has multiplicity 2 x=5 has multiplicity 2 X= -5 x=3 has multiplicity 2

FINAL CATEGORY

FINAL CATEGORY INSERT FINAL QUESTION (ANSWER) HERE

FINAL CATEGORY WHAT OR WHO IS THE FINAL ANSWER?

END OF GAME Daily Doubles and usage notes follow. . .

JEOPARDY! Slide Show Notes • • The font for the question & answer slides is “Enchanted; ” a copy of this font in located in the “REAL Jeopardy Template” folder. (This font will need to be installed in the C: /WINDOWS/FONTS folder of the computer running the show. ) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder. To change the categories: – – • 1. Go to “Edit” and “Replace…” 2. In the Find box, type CATEGORY 1 (all caps) 3. In the Replace box, type the category in all caps (for example, PRESIDENTS) 4. Click Replace All. . . To use the Daily Double: – 1. Choose which dollar values to set as Daily Double – 2. Link that dollar value to one of the DD slides – 3. Link the arrow on the DD slide to the correct question slide (so dollar/category match)

Running the JEOPARDY! Slide Show • • On the game board with the categories on top, click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show. ) ICONS: – – ? Go to the answer screen. House Go back to the game board. Right Arrow (on Daily Doubles) Go to the question screen. Turned-up Arrow Reload question screen after incorrect guess