New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

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

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Schaum's Chapter 2 Notes for Math Quiz 1

by: Anna Kolar

Schaum's Chapter 2 Notes for Math Quiz 1 CS200

Marketplace > Boston University > Computer science > CS200 > Schaum s Chapter 2 Notes for Math Quiz 1
Anna Kolar

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

These notes cover Schaum's College Algebra Chapter 2 which will be included in Math Quiz 1 for Module 1
Fundamentals of Information Technology
Class Notes
Algebra, Algebraic, Expression, term, monomial, multinomial, coefficient, numerical, literals, polynomials, constant, grouping, simplify
25 ?




Popular in Fundamentals of Information Technology

Popular in Computer science

This 3 page Class Notes was uploaded by Anna Kolar on Saturday September 10, 2016. The Class Notes belongs to CS200 at Boston University taught by Bragg in Fall 2016. Since its upload, it has received 15 views. For similar materials see Fundamentals of Information Technology in Computer science at Boston University.

Similar to CS200 at BU

Popular in Computer science


Reviews for Schaum's Chapter 2 Notes for Math Quiz 1


Report this Material


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: 09/10/16
Schaum’s College Algebra Fourth Edition – Chapter 2 – Module 1 Fundamental Operations with Algebraic Expressions Term Definition Example Secti on Algebraic expression A combination of ordinary numbers and letters with represent numbers 3a + 4b 2.1 Term Products and quotients of ordinary numbers and letters which represent numbers 3a 2.1 3 4 Monomial Algebraic expression with just one term (and are occasionally just called terms) 7a b 2.1 Multinomial Algebraic expression with more than one term 3a + 4b 2.1 Coefficient One factor of a term In 7a , the coefficient is 7 2.2 In 7a b , y, a , and b are  coefficients 3 Numerical coefficient If one number is being multiplied by one or more letters, the number is considered the  In 7a , the numerical  2.2 numerical coefficient (or just the coefficient) coefficient is 7 Like/Similar terms Terms that only differ by numerical coefficients; these can be combined by adding the  7a and 9a 3 2.2 coefficients together and create one term Literals Letters which represent numbers 2.2 Polynomial A molnomial/multinomial where each term is integral and rational 3 4  2.2 Degree of a monomial Sum of all exponents The degree of 7a b is 7 2.3 Degree of a polynomial Equal to the term with the largest degree 7a b + 3xy + 2a c  = 7, 2, and  2.3 6 so the degree is 7 Constant Singular number 6, Pi, 0, ­3 2.3 Degree of a constant Always 0 2.4 Grouping symbols Parenthesis (), brackets [], and braces{} 2.4 Grouping Shows that terms contained in them are a single quantity 2.4 + sign preceeds a  Remove the grouping without any change 2.4 grouping ­ precedes a grouping Change the sign of each term before removing the grouping (3a + 4b) – (5c + 6d ­7e) 2.4 = 3a + 4b ­5c – 6d +7e Groupings within  Start on the innermost grouping and move out ([{}]) In this case, braces, then 2.4 groupings brackets, then parenthesis Addition of algebraic  Combine like terms by arranging into columns 3a + 5b+6c 2.5 expressions 1a – 2b ­5c = 4a+3b+c Multiplying monomials Use laws of exponents, rules of signs, and ammutative/associative properties of  (3ab)(2a b )(a bc ) 2 5 3 6 multiplication = (3*2*1)(a*a *a )(b*b *b)(c ) = Schaum’s College Algebra Fourth Edition – Chapter 2 – Module 1 Fundamental Operations with Algebraic Expressions 8 5 6 6a b c Multiplying monomials Multiply each term of the polynomial by the monomial and simplify (5a b )(2ab + 5b) and polynomails = [(5*2)(a *a)(b *b)] + [(5*5)(a) (b *b)] = 10a b +25ab 3 Multiplying two  Multiply each of the terms of one polynomial by each of the terms of the other polynomials     (­2a + 5b) polynomials and combine (6+a) 2 =­12a+30b ­2a +5ab 2 5 7 2 4 Dividing monomials by 1. Divide numerical coefficients 30a b cd  / 2ab c monomials 2. Divide variables = 3. Multiply the quotients 2 5 2 4 7 (30/2)(a /a)(b /b )(c/c )(d ) = 3 ­3 7 15ab c d = 3 7 15ab d C3 Dividing polynomials  1. Arrange in descending or ascending powers (your pick) by one of the variables  Dividend/divisor =  by polynomials found in both polynomials Quotient + (remainder/divisor) 2. Divide the first in the dividend by the first term in the divisor (which gives the first  quotient term) See example on page 15 to see 3. Multiply the first term in the quotient by the divisor and subtract from the dividend  a full problem worked out (this gives you a new dividend) 4. Use this dividend and repeat steps 2 and 3 until a remainder is obtained Example problems: Page 16­20 2.1 Evaluate the algebraic expression where X=1, y=2, z=3 2x +4xy –z 2 2(1)+4(1)(2)­(3) 2 = 2+8­9 =1 2 2.2 Classify algebraic expressions as a term/monomial, binomial,  X +2xy Binomial, multinomial, polynomial trinomial, multinomial, or polynomial X /2xy Monomial 2 2 X  + 2xy + 4xy z Trinomial, multinomial, polynomial X  + 2xy + √4xy z 2 Trinomial, multinomial Schaum’s College Algebra Fourth Edition – Chapter 2 – Module 1 Fundamental Operations with Algebraic Expressions 2 2 X  + 2xy + 4xy z + z Multinomial, polynomial 2.3 Find the degree of a polynomial X  + 2xy + 4xy z + z 2, 2, 4, 1 – The degree is 4 X + 5 4 2 – the degree of the constant is 0 2 2 2.4 Remove the symbols of groupings and simplify by combining like  X  + 2xy + 4(3x – 2y) +4xy z ­(6xy  terms +3x )2 2 2 2 = x  +2xy+12x­8y+4xy z­6xy­3x =­2x ­4xy+12x­8y+4xy z 2 2.5 Adding algebraic expressions See page 17 (too complicated to type) 2.6 Subtracting algebraic expressions See page 17 (too complicated to type) 2.7 Product of algebraic expressions See page 18 (too complicated to type) 2.8 Dividing algebraic expressions See page 18 (too complicated to type) 2.9 Checking work by evaluating algebraic expressions Check your work in the previous two  problems using the methods of example  problem 2.1


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

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

Jim McGreen Ohio University

"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."

Jennifer McGill UCSF Med School

"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."

Steve Martinelli UC Los Angeles

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


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund 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


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:

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

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.