5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
Review for 5.1/5.2 Quiz
Know:
1. How to write a polynomial in standard form.
2. End behavior
3. Find the zeros of a polynomial function.
4. Write a polynomial equation in standard form given zeros.
5. Sketch a polynomial function with the appropriate end behavior and zeros.
6. Find the roots of a function.
7. Write a possible equation from a graph.
8. Write a polynomial in factored form.
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
5.3 Solving Polynomial Equations
Factoring Techniques that we have learned:
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
What are the real or imaginary solutions of each polynomial equation?
1. 2x3 ­ 5x2 = 3x
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
2. 3x4 + 12x2 = 6x3
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
Factoring by Grouping (similar to the British Method)
1. x3 + 3x2 + 4x + 12
2. x3 + x2 + x + 1
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
Factor the sum or difference of cubes:
Use Crummy­Crummy SOPS
1. x3 ­ 1
2. 8x3 + 27
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
Know the most common perfect cubes:
23 = 8
33 = 27
43 = 64
53 = 125
63 = 216
What are the real or imaginary solutions of each polynomial equation?
1. x3 ­ 27 = 0
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5.3 Solving Polynomial Equations(1).notebook
November 18, 2011
HW p. 300;1 ­ 3,5,6,10­19
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