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Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous

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Presentation on theme: "Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous"— Presentation transcript:

1 Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

2 Consider this Differences Table. What type of polynomial is this?

3 3rd degree; cubic

4 Describe the end behaviour of

5 Starts HIGH Ends LOW (because it has an odd degree (5) and it has a negative leading coefficient)

6 How many turning points (minimum and maximum) can a quartic polynomial have?

7 At least 1, at most 3

8 Draw a sketch of the polynomial

9 y-scale does not need to be exact!

10 Determine the equation, in factored form, of the following polynomial:

11

12 Find the remainder of when it is divided by

13

14 Use synthetic division to find the quotient of divided by

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16 Factor fully:

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18 Find the quotient and remainder of divided by

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20 Find the zeros of the polynomial:

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22 What are the solutions to the following equation:

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24 Solve

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26 Solve the equation:

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28 Solve the equation:

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30 The depth of a diver, D, over t minutes is given by: When is the diver at the surface?

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32 Write this set of numbers using interval notation:

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34 Solve the linear inequality:

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36 What is the solution set to the polynomial inequality:

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38 What is an inequality represented by the following graph:

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40 The height of a bird after x seconds is given by The height of a fly after x seconds is given by When is the bird below the fly?

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42 What values must be considered when finding factors of

43 (all the factors of 18)

44 What is the degree of the quotient of

45 3 (quintic, degree 5 divided by quadratic, degree 2 is a cubic, degree 5 – 2 = 3)

46 Is this polynomial even, odd, or neither?

47 Even

48 Is this polynomial even, odd or neither?

49 Neither

50 Sketch the function. Label zeros.

51


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