Remainder theorem - Study guides, Class notes & Summaries

Equivalence - Answer-"x ≡ y (mod N) means that x/N and y/N have the same remainder a ≡ b (mod N) and c ≡ d (mod N) then: a + c ≡ a + d ≡ b + c ≡ b + d (mod N) a - c ≡ a - d ≡ b - c ≡ b - d (mod N) a ** c ≡ a ** d ≡ b ** c ≡ b ** d (mod N) ka ≡ kb (mod N) for any integer k ak ≡ bk (mod N) for any natural number k a + k ≡ b + k (mod N) for any integer k a + b = c, then a (mod N) + b (mod N) ≡ c (mod N) a ** b = c, then a (mod N) ** b (mod N) ≡ c (mod N)" ...

Praxis II: Math Content Knowledge 100% Correct sum or product of two rational numbers is rational sum of rational number and irrational number is irrational product of rational number and irrational number is irrational sum or product of two irrational numbers is rational or irrational natural numbers 1, 2, 3, 4, 5, ... composite numbers are positive and not prime the fundamental theorem of algebra any polynomial with complex coefficients has at least one complex root Is matrix multiplica...

Crypto Final UPDATED Actual Exam Questions and CORRECT Answers TRUE/FALSE: Prime numbers play a very small role in cryptography. - CORRECT ANSWER- False TRUE/FALSE: One of the useful features of the Chinese remainder theorem is that it provides a way to manipulate potentially very large numbers mod M in terms of tuples of smaller numbers. - CORRECT ANSWER- True

Equivalence - ANSWER-"x ≡ y (mod N) means that x/N and y/N have the same remainder a ≡ b (mod N) and c ≡ d (mod N) then: a + c ≡ a + d ≡ b + c ≡ b + d (mod N) a - c ≡ a - d ≡ b - c ≡ b - d (mod N) a ** c ≡ a ** d ≡ b ** c ≡ b ** d (mod N) ka ≡ kb (mod N) for any integer k ak ≡ bk (mod N) for any natural number k a + k ≡ b + k (mod N) for any integer k a + b = c, then a (mod N) + b (mod N) ≡ c (mod N) a ** b = c, then a (mod N) ** b (mod N) ≡ c (mod N)...

3, 4, 0, 0 Correct Answer State the degree of each of the following polynomials. (write your answer like "ans1, ans2, ans3") a) x³ - 3x² + 2x - 7 b) 8 + 5x - 3x² + 7x + 6x⁴ c) 3 d) x⁰ 3x + 1 Correct Answer One factor of 3x² -5x -2 is x - 2. Find the other factor. A = 4, B = 10, C = 20, R = 43 Correct Answer If 4x³ + 2x² + 3 ≡ (x - 2)(Ax² + Bx + C) + R, find A, B, C and R A = 3, B = 1, C = -1, D = 2, R = 0 Correct Answer Find the values of A, B, C, D and R. 6x⁴ + 5x...

Crypto Final Exam Questions with Correct Answers 100% Solved TRUE/FALSE: Prime numbers play a very small role in cryptography. False TRUE/FALSE: One of the useful features of the Chinese remainder theorem is that it provides a way to manipulate potentially very large numbers mod M in terms of tuples of smaller numbers. True TRUE/FALSE: An important requirement in a number of cryptographic algorithms is the ability to choose a large prime number. True TRUE/FALSE: All integers have pri...

relation correct answers A set of ordered pairs function correct answers a relation in which each element of the domain is paired with exactly one element of the range domain correct answers Set of inputs (x-value) range correct answers Set of outputs (y-value) asymptote correct answers Is a line (boundary) that a graph gets closer and closer to, but never touches or crosses it coefficient correct answers A number multiplied by a variable in an algebraic expression. even functi...

ACT Test Prep Math Concepts 104 Questions with Verified Answers Undefined - CORRECT ANSWER division by zero; a/bc is ___ if b or c is equal to zero real number - CORRECT ANSWER number that has a location on the number line imaginary number - CORRECT ANSWER on the ACT, ___ numbers involve the square root of a negative number; square root of -4 integer - CORRECT ANSWER this is a whole number.. includes negative whole numbers and zero rational number - CORRECT ANSWER a number that...

metacog from class notes on Factor and Remainder theorem, the begging of Calculus Math Factor and Remainder Theorem Metacog for grade 12

Crypto Final Exam Questions with Correct Answers 100% Solved TRUE/FALSE: Prime numbers play a very small role in cryptography. False TRUE/FALSE: One of the useful features of the Chinese remainder theorem is that it provides a way to manipulate potentially very large numbers mod M in terms of tuples of smaller numbers. True TRUE/FALSE: An important requirement in a number of cryptographic algorithms is the ability to choose a large prime number. True TRUE/FALSE: All integers have pri...