### Create a StudySoup account

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

Already have a StudySoup account? Login here

# Math 1050, Week 2 Notes 1050-001

The U

### View Full Document

## About this Document

## 47

## 1

## Popular in College Algebra

## Popular in Mathematics (M)

This 0 page Bundle was uploaded by Andrea Notetaker on Thursday January 14, 2016. The Bundle belongs to 1050-001 at University of Utah taught by Professor Margarita Cummings in Fall 2016. Since its upload, it has received 47 views. For similar materials see College Algebra in Mathematics (M) at University of Utah.

## Reviews for Math 1050, Week 2 Notes

### 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: 01/14/16

Counting Questions From lecture on January 19 2016 There are four different types of counting questions quotOptionquot questions quotOrder allquot questions quotOrder somequot questions quotChoosequot questions 1 quotOptionquot Questions To solve this type of question all you need to do is multiply all the different options together AXBXC Example of an quotOptionquot question A local sandwich shop makes sandwiches to order There are 3 kinds of bread 4 kinds of meat and 2 kinds of cheese How many different kinds of sandwiches are available at the shop 1 quotOrder allquot Questions To solve this type of question you take the number of objects factorial N Factorial simply means a multiplication problem The way you multiply factorial is very simple if you have 4 objects you multiply 4x3x2x1 If you have 6 objects you multiply 6x5x4x3x2x1x And so on Example of an quotOrder allquot Question How many ways can you organize the letters RCMBK using all the letters exactly one time Important to Remember If the number of objects is equal to the number of places available it is an order all question 1 quotOrder somequot Questions These types of questions are easy to solve with just logic and by simply thinking through the problem But if you need the formula the formula is N NK N being the number of objects and K being the number of places available Example of an quotOrder somequot Question There are 30 people running a marathon How many ways can lst 2nd and 3rd place be determined 1 quotChoosequot Questions It is important to remember that quotchoosequot questions are not ordering objects so order is unimportant The formula for these questions is N KNK Example of a quotChoosequot Question There are 20 faculty members all hoping to be on a committee of 5 people to select the new chair How many ways can the 5 people be selected Pascal39s Triangle From lecture on January 22 2016 This is Pascal39s Triangle 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 1o 10 5 1 The rows are numbered from top to bottom the topmost row being Row 0 The numbers in the rows are read from right to left as term 0 term 1 term 2 etc There are many patterns that can be found in Pascal39s Triangle but an interesting pattern to recognize is this Row 0 equals 2 aso equals 1 1 Row 1 equals 11 21aso equals 11 Row 2 equals 22aso equals 1331 1331 And so on The notation for Pascal39s Triangle is 4 3 This is read as quot4 choose 3quot This notation is referring to Row 4 term 3 which is 4 This notation is a simpler way of solving 4 343 Writing Polynomials Using Pascal39s Triangle x15 The exponent is refers to a speci c row in the Triangle Since this exponent is 5 you need to use the 5th row Now that you have a row the numbers in that row are your coefficients for writing the polynomial So you can now write 1 5 10 10 5 1 Next you need to separate x1 into two different pieces x1 Place these pieces next to each coef cient 1X1 5X1 10X 10X 5X1 1X 1 1 1 Now add exponents Since this polynomial is in the 5th row or to the 5th exponent the highest exponent will be 5 The lowest exponent will always be 0 for every polynomial you write For both the x piece and the 1 piece the exponents will start at the far right side of the polynomial The x pieces39s exponents will move from 5 to 0 The 1 pieces39s exponents will move from 0 to 5 The result should look as such 1X51 5X41 10X31 10X21 5X11 1X 1 O 1 2 3 4 5 Now simplify The resulting polynomial is X5 5x4 10x3 10x2 5x 1

### 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

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "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.