solve number #7 please. domain is a field. 7. State Fermat's theorem and use it to...
Discrete structures please help!! Use Fermat's little theorem to find the remainder when 91000 is divided by 13. To get credit, use Fermat's little theorem and show how each step is done without using a calculator.
(III) State Fermat's Little Theorem and use it to deduce that dp-1.
7. Use Fermat's Little Theorem to find the remainders of each of the division problems a. 6150 -19 b. 937531.
Please help me with understandable solutions for question 6(a), 7, 8 and 10. ( Use Chinese remainder theorem where applicable). 78 CHAPTER 5. THE CHINESE REMAINDER THEOREM 6. (a) Let m mi,m2 Then r a (mod mi), ag (mod m2) can be solved if and only if (m, m2) | a1-a2. The solution, when it exists, is unique modulo m. (b) Using part (a) prove the Chinese remainder theorem by induction. 7. There is a number. It has no remainder...
please solve q 11 and q12 Let G be the group of rotations of a regular p-gon, where p is an odd prime. If t vertices of the p-gon are to be painted using at most n colors, find the number distinct colorings 12. Use the result of Problem 11 to give an unusual proof of Fermat's little theorem.
1 pts Use the remainder Theorem to find the remainder when / by +1. 5 3 .7+ 8 is divided OR-10 OR-8 OR- OR-16
Use the remainder theorem to find the remainder when f(x) is divided by x - 3. Then use the factor theorem to determine whether x -3 is a factor of f(x). f(x)#3x3-12x2 + 10x-3 The remainder is
Use the remainder theorem to find the remainder when f(x) is divided by the given x-k. f(x) = 4x2 - 5x+8 X-3 When 4x2 - 5x + 8 is divided by x - 3, the remainder is
(1) Define what an integral domain is. (2) Find all solutions to r? + 5x + 6 = 0 in Za. (3) Find all units in Z14 (4) Solve the equation 3.x = 2 in Zs. (5) Find the remainder of 512 when it is divided by 11. IR Camonte (12) Using this, determine 5 (mod 12).
Include all relevant work please. 7. Use synthetic division and the remainder theorem to determine f(-2) when f(x) = x3 - 2x2 + 7x + 5 7. f(-2) = [4]