# Grade 8 the Division of Algebraic Expression Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## (1) Use the Long Division Method in Each Question. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

## (2) Use the Long Division Method in Each Question. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

## (3) Use the Long Division Method in Each Question. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

## (4) Use the Long Division Method in Each Question. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

## (5) Use the Long Division Method in Each Question. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

## (6) Use the Short Division Method to Evaluate. Then Write Out the Quotient and the Remainder in the Boxes Given

(a)

(7) Find the Value of n if is factor of

(8) Find the value of k so that be a factor of

## (9) in below Question, Find the Quotient by Factorizing the Numerator

(a)

## (10) in below Question, Find the Quotient by Factorizing the Numerator

(a)

## Answers and Explanations

### Answer 1 (A)

- To get the Answer by using long division method first arrange the indices in descending order.

- Now, divide by to get the first term of quotient.

- Multiply the divisor by

- Bring Down the next term (-28)

- Divide by to get second term of quotient,

- Multiply the divisor by 7

- Therefore,
**Quotient**and**Remainder**

### Answer 2 (A)

- To get the Answer by using long division method first arranges the indices in descending order.

- Divide by to get first term of quotient.

- Now, multiply the divisor by 3x,

- Bring Down the next term (6)

- Divide by to get second term of quotient.

- Now, multiply the divisor by 2,

- Therefore,
**Quotient**and**Remainder**

### Answer 3 (A)

- To get the Answer by using long division method first arranges the indices in descending order.

- Divide by to get first term of quotient.

- Now, multiply the divisor by ,

- Bring Down the next term

- Divide by to get second term of quotient.

- Now, multiply the divisor by ,

- Divide by to get third term of quotient.

- Now, multiply the divisor by ,

- So,
**Quotient**and**Remainder**

### Answer 4 (A)

- To get the Answer by using long division method first arranges the indices in descending order.

- Divide by to get first term of quotient.

- Now, multiply the divisor by ,

- Divide by to get Second term of quotient.

- Now, multiply the divisor by ,

- Now Bring Down next two term that is:

- Hence,

- Divide by to get third term of quotient.

- Now, multiply the divisor by ,

- So,
**Quotient**and**Remainder**

### Answer 5 (A)

- To get the Answer by using long division method first arrange the indices in descending order.

- Divide by to get first term of quotient.

- Now, multiply the divisor by ,

- Divide by to get Second term of quotient.

- Now, multiply the divisor by ,

- So,
**Quotient**and**Remainder**

### Answer 6 (A)

- Arrange the indices in to Descending order:

- Now factorize considering divisor as a factor

- Therefore,
**Quotient**and**Remainder**

### Answer (7)

- If is factor of given equation than ,

- By putting the value of the value of equation will become ZERO.

### Answer (8)

- If is factor of given equation than,

- By putting the value of value of equation will become ZERO.

### Answer 9 (A)

- Factorize the numerator,

- Now For,
- We know identities that
- Compare this identities with our equation
- So,

- So,

- From Equation-1 and equation-2;

- So, is factor of

- So, Quotient is

### Answer 10 (A)

- Factorize the numerator,

- Now to factorize given equation; we made by summation of two such part that are factor of multiplication of coefficient of
- Hence
- Multiplication of coefficient
- Now,

- So, is factor of numerator
- So,

- Therefore, Quotient is