Most Popular Remainder Documents

Lec112615
School: Iowa State
Course: MATH 350
Math350 L11. Chinese Remainder Theorem (4.3) Feb. 6, 2015 Goals: To solve systems of linear congruences in one variables by using the Chinese Remainder Theorem. The Chinese Remainder Theorem. Let m1 , m2 , . . . ...

Problem Set 3 Solutions
School: University Of Toronto
Course: MATH MAT246
MAT246 SPRING 2009 L0101 PROBLEM SET 3 SOLUTIONS (1) What is the remainder when 11 Â· 18 Â· 2322 Â· 13 Â· 19 is divided by 7? Solution: 11 Â· 18 Â· 2322 Â· 13 Â· 19 â‰¡ 4 Â· 4 Â· 5 Â· 6 Â· 5 â‰¡ (4 Â· 5)2 Â· 6 â‰¡ 63 â‰¡ 6. D (2) What is the remai...

exam1_solutions_s10
School: San Diego State
Course: MATH 541
... 2 ( 1 âˆ’ 4x2 2 ) âˆ’ ( 2x âˆ’ 8x3 6 ) âˆ’ 2 ( 1 âˆ’ x + x2 2 âˆ’ x3 6 ) + R3(x) = âˆ’5x2 + 5 3 x3 + R3(x). The Taylor polynomial with remainder is given by P3(x) = âˆ’5x2 + 5 3 x3 and R3(x) = f(4)(Î¾) 4! x4 = 32 cos(2Î¾) âˆ’ 2eâˆ’Î¾ âˆ’ 16 si...

Homework C on Modern Algebra
School: Oklahoma State
Course: MATH 3613
... Problems from Â§2.1 2.1.1. Prove that a â‰¡ b (mod n) if and only if a and b leave the same remainder when divided by n. 2.1.2. If a âˆˆ Z, prove that a2 is not congruent to 2 modulo 4 or to 3 modulo 4. ...
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Homework C on Modern Algebra
School: Oklahoma State
Course: MATH 3613
... Problems from Â§2.1 2.1.1. Prove that a â‰¡ b (mod n) if and only if a and b leave the same remainder when divided by n. 2.1.2. If a âˆˆ Z, prove that a2 is not congruent to 2 modulo 4 or to 3 modulo 4. ...

Homework 5 Solution
School: Oklahoma State
Course: MATH 3613
... reduced' solution). (Hint: Rather than figure out 56 and the taking its remainder modulo 7, it might help when computing 56 mod 7 to reduce mod 7 after each power of 5 you compute.) Solution. 34 ...

MATH 362 Spring 2015 Homework 1 Solutions
School: Johns Hopkins
Course: MATH 362
Homework 1, Optimization 550.362, Spring 2015 Problem 1: Use a Taylor expansion with remainder term to show that for all x : 0 â‰¤ x < Ï€ 2 it ... Solution: Expanding tan(x) about the value 0, with remainder term at the first derivative, we ...

MATH 210 Homework 1 Solutions
School: Queens University
Course: MATH 210
... 1. For each pair of numbers a, b we repeatedly apply division with remainder to find the gcd, and then start at the bottom and substitute back up to obtain an expression for gcd(a, b) as an integer linear combination au + bv of a and b. ...
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lab9_w13
School: University Of Waterloo, Waterloo
Course: MATH 118
Math 118  Lab 9  Winter 2013. Taylor and Maclaurin Polynomials, Binomial Expansion, Taylor's Remainder Theorem ... Student number: Taylor and Maclaurin Polynomials, Binomial Expansion, Taylor's Remainder Theorem ...

Ch 7 summary
School: Arizona State University
Course: MAT 445
ummryX ghinese eminder heorem The focal point of this chapter is to nd and prove the Chinese Remainder Theorem, rst for two congruences, and ...
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Lec112615
School: Iowa State
Course: MATH 350
Math350 L11. Chinese Remainder Theorem (4.3) Feb. 6, 2015 Goals: To solve systems of linear congruences in one variables by using the Chinese Remainder Theorem. The Chinese Remainder Theorem. Let m1 , m2 , . . . ...

Problem Set 3 Solutions
School: University Of Toronto
Course: MATH MAT246
MAT246 SPRING 2009 L0101 PROBLEM SET 3 SOLUTIONS (1) What is the remainder when 11 Â· 18 Â· 2322 Â· 13 Â· 19 is divided by 7? Solution: 11 Â· 18 Â· 2322 Â· 13 Â· 19 â‰¡ 4 Â· 4 Â· 5 Â· 6 Â· 5 â‰¡ (4 Â· 5)2 Â· 6 â‰¡ 63 â‰¡ 6. D (2) What is the remai...

M135F08A4S
School: Waterloo
Course: MATH 135
MATH 135 Fall 2008 Assignment #4 Solutions HandIn Problems 1. In each part, we must ensure that the remainder r satisfies 0 â‰¤ r < b = 12. (a) Since 261 = 21(12) + 9, then the quotient is 21 and the remainder is 9. (b) Since âˆ’261 = âˆ’22(...

Math 540 test 2 info
School: Kansas
Course: MATH 540
Math 540 Information for Test 2, Wednesday, Nov. 13, 2013 Covers Homework Assignments #5Â–9, and lectures through 11/4/13. Topics: Chinese remainder theorem Euler Ï†function Euler's theorem Order Primitive roots Perfect numbers RSA encryption...
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iphh
School: California High, California
Course: MATH Differenta
... Tons of Free Math Worksheets at: Â© www.mathworksheetsland.com Applying the Remainder Theorem  Independent Practice Worksheet Find the remainder of each problem below. 1. x3 Â– 6x2 + 11x Â– 6 Ã· x  1 2. 2x2 + x Â– 7 Ã· x  2 ...

Week 4  Quiz
School: Alabama State University
Course: MATH 221
... Example 28, Dividing a Polynomial by a Binomial: Long Division, located in the media section of Chapter 4, the example has a remainder of 10. ...

term2010F
School: University Of Toronto
Course: MAT 246
Mat 246H1F  Term test October 27, 2010 No calculators or other aids allowed 10 marks per question; 100 marks total Duration: 2 hours 1. Find the remainder after dividing 6!(130)121 +7(1475)101 by 8. Please show your work. ...

maths 4.2
School: Harvard
Course: MA 2
... (. ). HKCEE MATHEMATICS  4.2 Polynomials  Remainder and Factor Theorem  P.1. 1. 1990/II/34. Let f(x) = 3x 3 âˆ’ 4x + k. If f(x) is divisible by x âˆ’ k, find the remainder when f(x) is divided by x + k. A. 2k B. k C. 0 D. Â– k E. âˆ’k âˆ’ 1...
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