2. Compute the ged of the number below using 1) factorization, 2) using Euclid's division algo- rithm: (a) gcd(24, 15) (b) gcd(172, 20) (c) gcd(54, 21) 3. Using the reverse of Euclid's division algorithm compute: (a) Find integers x, y such that 24r + 15y = 3 (b) Find integers x, y such that 172x + 20y = 1000 (c) Find integers x, y such that 23x + 17y = 1 4. Using your work from the earlier parts or independently find: (a) mod 8 (b) + mod 23 (c) mod 7

Q: 3. Use the Division Algorithm to establish the following: (c) The fourth power of any integer is…

A: See the attachment

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A: I have used Euclid algorithm

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A: Here we will use Chinese Remainder Theorem to find solution.

Q: 1.) Create and solve one equal group problem.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (a) Use the division algorithm to show that any number N can be written as either N = 3k, N = 3k +…

A: (a) Use the division algorithm to show that any number N can be written as either N = 3k, N = 3k +…

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A: there are some problems in question. Please find the details in next steps

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A:

Q: Use the Euclidean algorithm to find the greatest common divisor of 3408 and 2903. Then find…

A: I'm providing hand written solution for better understanding.

Q: 4) Determine whether each polynomial P is a factor of the polynomial Q. If it is, state the other…

A: To find that P is a factor of Q or not.

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