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1.The remainder r in the division algorithm is often referred to as a __________

ID: 3805194 • Letter: 1

Question

1.The remainder r in the division algorithm is often referred to as a __________

2. The _________ class [x + 1] consists of all polynomials a(x) that satisfy the quality a(x) mod m(x) = x + 1.

3. Groups are defined by a complex set of properties and are difficult to understand. true or false?

4. Finite fields are a subset of fields, consisting of those fields with a finite number of elements? true or false?

5. One of the basic techniques of number theory is the ________ algorithm which is a simple procedure for determining the greatest common divisor of two positive integers.?

Explanation / Answer

1) The remainder r in the division algorithm is often referred to as a Residue.

2)

3) It is false that Groups are defined by a complex set of properties and are difficult to understand.

4) It is true that Finite fields are a subset of fields, consisting of those fields with a finite number of elements.

5) One of the basic techniques of number theory is the Euclid's algorithm which is a simple procedure for determining the greatest common divisor of two positive integers.