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Can remainder and divisor be same?

Posted on April 10, 2021 by Author

Table of Contents

  • 1 Can remainder and divisor be same?
  • 2 What is the remainder theorem of X?
  • 3 Can be divided evenly without a remainder?
  • 4 What is the relationship between the degrees of the dividend the divisor and the quotient?
  • 5 Is remainder theorem and factor theorem same?

Can remainder and divisor be same?

Answer: no it is not possible to have the same divisor and remainder in division sum.

What is the relation between divisor and remainder?

The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.

What is the remainder theorem of X?

What Is the Remainder Theorem? The remainder theorem is stated as follows: When a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).

What is the remainder if the divisor of a polynomial is a factor?

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You know, from long division of regular numbers, that your remainder (if there is one) has to be smaller than whatever you divided by. In polynomial terms, since we’re dividing by a linear factor (that is, a factor in which the degree on x is just an understood “1”), then the remainder must be a constant value.

Can be divided evenly without a remainder?

To “divide evenly” means that one number can be divided by another without anything left over. In other words no remainder! Note: “evenly” in this case means “fairly” or “exactly”, it has nothing to do with even numbers, for example 15 can be evenly divided by 3 (5 times) and they are all odd numbers. …

Which function returns the remainder after a number is divided by the divisor?

Microsoft Excel MOD function
The Microsoft Excel MOD function returns the remainder after a number is divided by a divisor. The MOD function is a built-in function in Excel that is categorized as a Math/Trig Function.

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What is the relationship between the degrees of the dividend the divisor and the quotient?

(i) deg p(x) = deg q(x) Degree of quotient will be equal to degree of dividend when divisor is constant ( i.e., when any polynomial is divided by a constant).

Why should the remainder be less than the divisor 4th grade?

Explanation: If a remainder is more than divisor, latter can go one more time and hence division is not complete. Even if remainder is equal to divisor, it can still go one more time. Hence remainder has to be less than the divisor.

Is remainder theorem and factor theorem same?

Explanation: The remainder theorem tells us that for any polynomial f(x) , if you divide it by the binomial x−a , the remainder is equal to the value of f(a) . The factor theorem tells us that if a is a zero of a polynomial f(x) , then (x−a) is a factor of f(x) , and vice-versa.

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How many ways can you divide 16 equally?

For example, 16 can be divided evenly by 1, 2, 4, 8, and 16. So the numbers 1, 2, 4, 8, and 16 are called factors of 16. To find the factors of a number, begin with 1 and the number itself, then divide the number by 2, 3, 4, etc., taking only pairs of factors that divide the number evenly.

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