warm up 9/2. homework questions announcements quiz friday hw 2.4 pg. 206 #’s 34-44 even, 50-56...
TRANSCRIPT
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Warm Up 9/2
• What is the remainder of ?
• Is x-1 a factor of the polynomial
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Homework Questions
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Announcements
• Quiz Friday
• HW 2.4 pg. 206 #’s 34-44 even, 50-56 even
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Rational Zeros Theorem
• To find all possible rational roots, divide all the factors of the constant by all the factors of the leading coefficient.
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Example
• Find the rational zeros for
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Practice
• Find the rational zeros for f(x)=
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Upper and Lower Bounds
• Upper Bound – If every number in last line of synthetic division is positive
• Lower Bound – If the numbers in last line of synthetic division alternate between positive and negative.
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Example
• Prove that all the real zeros of f(x) = must lie in the interval [-2, 5]
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Practice
• Prove that 3 is an upper bound for
• Prove that -1 is a lower bound for
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Irrational Roots
• Find all real zeros of and tell which are rational and irrational
![Page 11: Warm Up 9/2. Homework Questions Announcements Quiz Friday HW 2.4 pg. 206 #’s 34-44 even, 50-56 even](https://reader035.vdocuments.us/reader035/viewer/2022062423/5697c02a1a28abf838cd8427/html5/thumbnails/11.jpg)
Practice
• Find all real zeros of and tell which are rational and irrational
![Page 12: Warm Up 9/2. Homework Questions Announcements Quiz Friday HW 2.4 pg. 206 #’s 34-44 even, 50-56 even](https://reader035.vdocuments.us/reader035/viewer/2022062423/5697c02a1a28abf838cd8427/html5/thumbnails/12.jpg)
Homework
• Section 2.4 pg. 206 #’s 34-44 even, 50-56 even
• Answers posted on website