S ECTION 10.4 Solving Polynomials Equations in Factored Form.
Solving Polynomials 2017.notebook - cabarrus.k12.nc.us · Solving Polynomials 2017.notebook October...
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Solving Polynomials 2017.notebook October 26, 2017
Warm‐Up1. A rectangular painting has dimensions x and x + 10. The painting is in a frame 2 in. wide. The total area of the picture and the frame is 900 in2. What are the dimensions of the painting?
2. Your community wants to put a square fountain in a park. Around the fountain will be a sidewalk that is 3.5 ft wide. The total area that the fountain and sidewalk can be is 700ft2. What are the dimensions of the fountain?
3.
4.
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
Fundamental Theorem of Algebra: Any polynomial of degree n ... has n roots
but we may need to use complex (imaginary) numbers
AND imaginary roots ALWAY come in pairs
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Solving Polynomials 2017.notebook October 26, 2017
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Solving Polynomials 2017.notebook October 26, 2017
Solving Polynomials‐ Find all possible solutions.
1. x4 + 2x3 ‐ 13x2 + 10x = 0
1. Degree:
2. Roots:
3. End Behavior: same direction/ up
4. Calculator y=(type equation)
5. Look at graph determine real/complex
6. 2nd Table, look for where y=0
x = 5,0,1,2
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Solving Polynomials 2017.notebook October 26, 2017
Solving Polynomials‐ Find all possible solutions.
2. 2x4 ‐ 5x3 ‐ 17x2 + 41x ‐21 = 01. Degree: 4
2. Roots: 4
3. End Behavior: same direction/ up (even degree)
4. Calculator y=(type equation)
5. Look at graph determine real/complex
6. 2nd Table, look for where y=0
7. Find complex roots by synthetic division.
x=3, 1
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Solving Polynomials 2017.notebook October 26, 2017
WarmUp1)
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Solving Polynomials 2017.notebook October 26, 2017
https://play.kahoot.it/#/k/58df2632fbcc472fbbff9f6446fceadd
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Solving Polynomials 2017.notebook October 26, 2017
Solving Polynomials‐ Find all possible solutions.
3. x3 ‐ 2x2 + 5x ‐ 10 = 0
1. Degree:
2. Roots:
3. End Behavior: (even/odd) ____________ direction(s)
4. Calculator y=(type equation)
5. Look at graph determine real/complex
6. 2nd Table, look for where y=0
7. Find complex roots by synthetic division.
__ real, __ complexx=
`
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Solving Polynomials 2017.notebook October 26, 2017
1) When you finish, work on ALEKS HW
2) 187 Topics Due Friday!
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Solving Polynomials 2017.notebook October 26, 2017
Solving Polynomials‐ Find all possible solutions.
4. x4 + x3 ‐ 7x2 ‐ 9x ‐ 18 = 0
1. Degree:
2. Roots:
3. End Behavior:
4. Calculator y=(type equation)
5. Look at graph determine real/complex
6. 2nd Table, look for where y=0
7. Find complex roots by synthetic division.
x=
__real, __complex