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).

What is the relationship between dividend divisor and quotient?

The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

What is the relationship between dividend divisor remainder and quotient?

Dividend – Dividend is the number that is to be divided by the divisor. Divisor – The number by which the dividend is to be divided is called the divisor. Quotient – The resultant of the division is called the quotient. Remainder – The number that is left after division is called the remainder.

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How do this degree of the dividend and the divisor affect the degree of the quotient?

Quotient· Divisor + Remainder. Note: The degree of the quotient is one less than the degree of the dividend. And the degree of the remainder is less than the degree of the divisor, x + 3, which in this case is 1.

What is the degree of the quotient for the division statement?

The degree of the quotient is one less than the degree of the dividend. For example, if the degree of the dividend is 4, then the degree of the quotient is 3.

What is the difference between the dividend and divisor of both the quotient and remainder are 1?

7, the term we’re dividing by something else, is called the dividend. 4, which is doing the dividing, is called the divisor. 1, the whole number component of the mixed fraction, is the quotient. And 3 is the remainder.

How does the quotient compared to the dividend when the divisor is less than 1?

When the divisor is less than 1, the quotient is larger than the dividend. Decreasing the divisor to 1/2 increases the quotient to 10 1/2 . When the divisor is smaller than the dividend, the quotient is more than 1.

What is the relation between dividend divisor quotient and remainder Class 9?

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.

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What is the divisor and the dividend?

When we divide two numbers, the number that is being divided is the dividend, whereas the number by which we divide is the divisor. For example, 12 candies are to be divided among 3 children. So we have 12 ÷ 3. Here, 12 is the dividend, and 3 is the divisor.

What is quotient and remainder examples?

It can be greater than or lesser than the quotient. For example; when 41 is divided by 7, the quotient is 5 and the remainder is 6. Here the remainder is greater than the quotient.

What is the degree of the remainder Why?

Degree of remainder is always less than the degree of divisor as if remainder is greater than divisor than the number to be divided can be divided again by adding remainder. When we divide numbers divisor is always taken to be largest whole number to fit into dividend.

How do you find the divisor when given the dividend and remainder?

The divisor formula is formed for two situations – with or without a remainder:

  1. If the remainder is 0, then Divisor = Dividend ÷ Quotient.
  2. If the remainder is not 0, then Divisor = (Dividend – Remainder) ÷ Quotient.