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.

Illustration 2 for Answers_and_Explanations
  • Multiply the divisor by
Illustration 3 for Answers_and_Explanations
  • Bring Down the next term (-28)
Illustration 4 for Answers_and_Explanations
  • Divide by to get second term of quotient,

  • Multiply the divisor by 7

Illustration 5 for Answers_and_Explanations
  • 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,

Illustration 6 for Answers_and_Explanations
  • Bring Down the next term (6)
Illustration 7 for Answers_and_Explanations
  • Divide by to get second term of quotient.

  • Now, multiply the divisor by 2,

Illustration 8 for Answers_and_Explanations
  • 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 ,

Illustration 9 for Answers_and_Explanations
  • Bring Down the next term
Illustration 10 for Answers_and_Explanations
  • Divide by to get second term of quotient.

  • Now, multiply the divisor by ,

Illustration 11 for Answers_and_Explanations
  • Divide by to get third term of quotient.

  • Now, multiply the divisor by ,

Illustration 12 for Answers_and_Explanations
  • 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 ,

Illustration 13 for Answers_and_Explanations
  • Divide by to get Second term of quotient.

  • Now, multiply the divisor by ,

Illustration 14 for Answers_and_Explanations
  • Now Bring Down next two term that is:
Illustration 15 for Answers_and_Explanations
  • Hence,
Illustration 16 for Answers_and_Explanations
  • Divide by to get third term of quotient.

  • Now, multiply the divisor by ,

Illustration 17 for Answers_and_Explanations
  • 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 ,

Illustration 18 for Answers_and_Explanations
  • Divide by to get Second term of quotient.

  • Now, multiply the divisor by ,

Illustration 19 for Answers_and_Explanations
  • 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,
Illustration 20 for Answers_and_Explanations

  • So, is factor of numerator
  • So,

  • Therefore, Quotient is

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