Polynomials: a problem book by E. J. Barbeau

By E. J. Barbeau

The e-book extends the highschool curriculum and gives a backdrop for later learn in calculus, smooth algebra, numerical research, and intricate variable idea. routines introduce many suggestions and issues within the concept of equations, similar to evolution and factorization of polynomials, answer of equations, interpolation, approximation, and congruences. the speculation isn't really handled officially, yet relatively illustrated via examples. Over three hundred difficulties drawn from journals, contests, and examinations try out realizing, ingenuity, and talent. every one bankruptcy ends with an inventory of tricks; there are solutions to the various workouts and ideas to all the difficulties. additionally, sixty nine "explorations" invite the reader to enquire study difficulties and comparable issues.

Show description

Read Online or Download Polynomials: a problem book PDF

Best algebra & trigonometry books

An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra

During this creation to commutative algebra, the writer choses a direction that leads the reader in the course of the crucial rules, with no getting embroiled in technicalities. he is taking the reader speedy to the basics of advanced projective geometry, requiring just a uncomplicated wisdom of linear and multilinear algebra and a few hassle-free staff idea.

Inequalities : a Mathematical Olympiad approach

This publication is meant for the Mathematical Olympiad scholars who desire to arrange for the examine of inequalities, an issue now of widespread use at a variety of degrees of mathematical competitions. during this quantity we current either vintage inequalities and the extra worthwhile inequalities for confronting and fixing optimization difficulties.

Recent Progress in Algebra: An International Conference on Recent Progress in Algebra, August 11-15, 1997, Kaist, Taejon, South Korea

This quantity offers the lawsuits of the foreign convention on ""Recent growth in Algebra"" that was once held on the Korea complex Institute of technological know-how and expertise (KAIST) and Korea Institute for complicated learn (KIAS). It introduced jointly specialists within the box to debate development in algebra, combinatorics, algebraic geometry and quantity concept.

Extra info for Polynomials: a problem book

Example text

A. 5 и 8 b. 7(2) each of the following products: a. 7 и 9 SOLUTION b. 4(6) Applying the commutative property to each expression, we have: a. 7 и 9 ϭ 9 и 7 EXAMPLE 12 b. 4(6) ϭ 6(4) Use the associative property of multiplication to rewrite each of the following products: a. (2 и 7) и 9 SOLUTION 11. Use the commutative property b. 3 и (8 и 2) Applying the associative property of multiplication, we regroup as 12. Use the associative property of multiplication to rewrite each of the following products.

7,406 Ϫ 3,405 EXAMPLE 1 SOLUTION Subtract: 376 Ϫ 241 We write the problem vertically, aligning digits with the same place value. Then we subtract in columns. 376 Ϫ 241 m888 Subtract the bottom number in each column from the number above it 135 2. a. Subtract 405 from 6,857. b. Subtract 234 from 345. EXAMPLE 2 SOLUTION Subtract 503 from 7,835. In symbols this statement is equivalent to 7,835 Ϫ 503 To subtract we write 503 below 7,835 and then subtract in columns. 7 , Ϫ 7 , 3 , 5 5 , 0 , 3 3 , 3 , 2 5Ϫ3ϭ2 3Ϫ0ϭ3 8Ϫ5ϭ3 7Ϫ0ϭ7 m8 m88888 m8888888888 m888888888888888 Answers 1.

Some involve addition as well. Be sure to read each problem carefully. 69. Checkbook Balance Diane has $504 in her checking 70. Checkbook Balance Larry has $763 in his checking account. If she writes five checks for a total of $249, account. If he writes a check for each of the three bills how much does she have left in her account? listed below, how much will he have left in his account? 71. Home Prices In 1985, Mr. Hicks paid $137,500 for his Item Amount Rent Phone Car repair $418 25 117 72. Oil Spills In March 1977, an oil tanker hit a reef off home.

Download PDF sample

Rated 4.67 of 5 – based on 14 votes