Chapter 5 Polynomials Describe Graphs Synthetic Division

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Presentation transcript:

Chapter 5 Polynomials Describe Graphs Synthetic Division Simplifying Polynomials Find all zeros Final Jeopardy Challenge 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500 Reid And Gabie

Simplifying Polynomials 100 Simplifying Polynomials

100 Simplifying Polynomials

Simplifying Polynomials 200 Simplifying Polynomials (4a)(2a3b2)(-a)

Simplifying Polynomials 200 Simplifying Polynomials -8a5b2

Simplifying Polynomials 300 Simplifying Polynomials

Simplifying Polynomials 300 Simplifying Polynomials

Simplifying Polynomials 400 Simplifying Polynomials (3x2y)3(2x0y-5)

Simplifying Polynomials 400 Simplifying Polynomials

Simplifying Polynomials 500 Simplifying Polynomials

Simplifying Polynomials 500 Simplifying Polynomials

100 Synthetic Division (x3 + 7x2 – 5x + 4) ÷ (x-2)

Synthetic Division 100

Synthetic Division 200 (4x5 – 7x4 + 2x2 – 1) ÷ ( x + 1)

Synthetic Division 200

Use synthetic to find f(-3) Synthetic Division 300 Use synthetic to find f(-3) f(x) = x6 + x5 + x4 + 20x3 + 5x2 + 4x + 6

Synthetic Division 300 66

(x-5)is a factor of X3 -6x2 + 3x + 10 Find the remaining factors. Synthetic Division 400 (x-5)is a factor of X3 -6x2 + 3x + 10 Find the remaining factors.

Synthetic Division 400 (x-2)(x+1)

Solve for k so the remainder is 2. Synthetic Division 500 Solve for k so the remainder is 2. (x4 – 7x3 + kx2 + 3x + 2)÷ (x + 1)

Synthetic Division 500 K = -5

How many zeros in the following equation? Y = x5 + 4x2 – 2x + 10 100 Describe Graphs How many zeros in the following equation? Y = x5 + 4x2 – 2x + 10

100 Describe Graphs 5

State the end behavior. Y = -4x8 – 10x3 + 5 200 Describe Graphs State the end behavior. Y = -4x8 – 10x3 + 5

200 Describe Graphs

Sate the max number of turns. Y = 2x4 + 7x3 – 5x2 + 10 300 Describe Graphs Sate the max number of turns. Y = 2x4 + 7x3 – 5x2 + 10

300 Describe Graphs 3

400 Describe Graphs Use a calculator to find the approximate zeros to the nearest tenth. Y = x3 – 4x2 + 7x - 10

400 Describe Graphs 2.8

500 Describe Graphs The zeros of the function are 3i, -3i, and 5. What is the polynomial function?

500 Describe Graphs X3 – 5x2 + 9x - 45

Find all zeros 100 5x2 - 45

Find all zeros 100 3, -3

Find all zeros 200 X2 + 3x - 5

Find all zeros 200

Find all zeros 300 X3 – x2 + 4x - 4

Find all zeros 300 1, 2i, -2i

Find all zeros 400 X4 – 21x2 + 80

Find all zeros 400

Find all zeros 500 3x3 – 8x2 + 3x + 2

Find all zeros 500

What are all the possible rational zeros? 5x5 – 7x4 + 2x3 – 3x2 - 20 Final Jeopardy What are all the possible rational zeros? 5x5 – 7x4 + 2x3 – 3x2 - 20

Final Jeopardy ANSWER