### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# S 101 A

UK

GPA 3.8

### View Full Document

## 18

## 0

## Popular in Course

## Popular in Studio Art

This 3 page Class Notes was uploaded by Edwina Flatley on Friday October 23, 2015. The Class Notes belongs to A at University of Kentucky taught by Staff in Fall. Since its upload, it has received 18 views. For similar materials see /class/228263/a-university-of-kentucky in Studio Art at University of Kentucky.

## Similar to A at UK

## Reviews for S 101

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/23/15

Seminar 6 Quadratics inequalities and absolute values longdivision remainders and factoring AS 101003 High school mathematics from a more advanced point of View 1 Welll continue With quadratic equations today the connection between nding roots7 graphs7 and factoring 2 We may see up to two presentations today 3 As time permits Why does factoring a function help nd roots of 4 Division stuff numbers and polynomials Quick review Problem 1 Let 41 12 How can you nd the minimum value of Can you do it Without graphing7 or even visualizationThat is7 argue you have the correct min using number facts Problem 2 Let z 7 22 5 How can you nd the minimum value of Can you do it Without graphing7 or even visualization Problem 3 Let hz l1 7 4 5 How can you nd the minimum value of Can you do it Without graphing7 or even visualization Problem 4 Make up realworld maximization or minimization problem modeled by a quadratic function Discussion problem 5 What s a root of a quadratic function What connection does a root a quadratic have With its graph Can you explain that connection Problem 6 Find the roots of 1 127312 2 91 712 4zl Problem 7 What connection does the factorization of a quadratic have to with its roots as a function For example let 41 12 7 312i Factor Determine its roots Problem 8 Suppose we have factored a quadratic 41 1 7 c1 7 d What are the roots of 41 Explain How can you be sure that we haven7t missed any roots Before you explain work on the next problem Problem 9 Let7s work in Z12 Let 1 7 2 1 7 4 Are the roots of just 2 and 4 Problem 10 What property of real numbers not possessed by Z12 guarantees that factoring completely determines the root set of a quadratic Absolute values and inequalities too because they are so important in high school math Let7s recall the 50 cent de nition of absolute value 1 if 1 2 0 otherwise 1 71 when 1 lt 0 Problem 11 Explain how to nd solutions to 2 Tol17ll2 Tol217ll720 Problem 12 Now you want to nd solutions to gt 1 How many solutions are there Can you provide a graphical description of the solution set Problem 13 Solve 21 7 1 2 3 Problem 14 Connect absolute values and the idea of distance on the number line Problem 15 How would you solve 12 7 4 2 0 Loose ends should we go here Please look this over this week I think some discussion of longdivision divisibility in numbers and polynomials might be interesting and useful ultimately to you The famous Division Algorithm so obvious it s hard to see77ubut having so many uses Let ab be integers with I f 0 Then there exist unique 4 the quotient and T the remainder with T satisfying 0 S T lt I such that a 124 T Let a 1001 and b 21 Find 4 and T guaranteed by the Division Algorithm Unless you re good at mental arithmetic you might do a longdivision One consequence of the uniqueness aspect of the Division Algorithm an integer is either even or odd and it can t be both Of course everyone knows that anywayuso of course its a consequence of a detestable theorem For that matter why does the longdivision algorithm on integers work anyway Simple explanation Ever try to nd one I didnltubut now l7m sorry I didn7t7 because I have to teach the validity of that algorithm to preservice elementary teachers which makes me feel sort of phony but relieved to nd out it s explainable in simple terms TheoTem Let 101 be a polynomial of degree n Then T is a root of 101 if and only if 101 I 7 Tqz where qz is a polynomial of degree n 7 1 What does this theorem say about the number of roots of a polynomial of degree n

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over $500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.