long and synthetic division
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Long and Synthetic Division. Long Division. Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and a remainder polynomial r(x). Question 1. Make sure the powers are in descending order! Divide Using Long Division (. Question 2. - PowerPoint PPT PresentationTRANSCRIPT
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Long and Synthetic Division
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Long Division
• Polynomial long division can be used to divide a polynomial d(x), producing a quotient polynomial q(x) and a remainder polynomial r(x)
![Page 3: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/3.jpg)
Question 1
• Make sure the powers are in descending order!
• Divide Using Long Division
(
![Page 4: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/4.jpg)
Question 2
• Divide Using Long Division(x
![Page 5: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/5.jpg)
Question 3
• Divide Using Long Division
(
![Page 6: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/6.jpg)
Question 4
• Divide Using long Division
(42 +
![Page 7: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/7.jpg)
Question 5
• Use the Remainder Theorem to evaluate each function at the given value.
f(x) = 2
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Question 6
• Use the Remainder Theorem to evaluate each function at the given value.
f(m) = at x=7
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Question 7
• Find all the zeros. One zero has been given.
f(x)=
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Question 8
Find all the zeros. One zero has been given.
• f(x)= 2
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Question 9
Find all the zeros. One zero has been given.
• f(x)= 1
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Question 10
Find all the zeros. One zero has been given.
• f(x)= 4
![Page 13: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/13.jpg)
Question 11
Find all the zeros. One zero has been given.
• f(x)= -1
![Page 14: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/14.jpg)
Question 12
• State the possible rational zeros for each function. Then find all rational zeros.
f(x)=
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Question 13
• State the possible rational zeros for each function. Then find all rational zeros.
f(x)=4
![Page 16: Long and Synthetic Division](https://reader035.vdocuments.mx/reader035/viewer/2022062310/56816244550346895dd27e5f/html5/thumbnails/16.jpg)
Question 14
• State the possible rational zeros for each function. Then find all rational zeros.
f(x)=
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Question 15
• Just list the possible rational zeros.
f(x)=5
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Question 16
• What are rational and irrational numbers?
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Question 17
• What type of zeros will not be included in the possible rational numbers list?
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Question 18
• What are the two important things that the Remainder Theorem says?
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Question 19
• What does it mean to have multiplicity of zeros?
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Question 20
• How can you verify zeros of a polynomial using a graphing calculator?