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Division Of Polynomials

Class 8th Mathematics (new) MHB Solution
Practice Set 10.1
  1. 21m2 ÷ 7m Divide. Write the quotient and the remainder.
  2. 40a3 ÷ (-10a) Divide. Write the quotient and the remainder.
  3. (-48p4) ÷ (-9p2) Divide. Write the quotient and the remainder.
  4. 40m5 ÷ 30m3 Divide. Write the quotient and the remainder.
  5. (5x3 - 3x2) ÷ x2 Divide. Write the quotient and the remainder.
  6. (8p3 - 4p2) ÷ 2p2 Divide. Write the quotient and the remainder.
  7. (2y3 + 4y2 + 3) ÷ 2y2 Divide. Write the quotient and the remainder.…
  8. (21x4 - 14x2 + 7x) ÷ 7x3 Divide. Write the quotient and the remainder.…
  9. (6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2 Divide. Write the quotient and the remainder.…
  10. (25m4 - 15m3 + 10m + 8) ÷ 5m3 Divide. Write the quotient and the remainder.…
Practice Set 10.2
  1. (y2 + 10y + 24) ÷ (y + 4) Divide and write the quotient and the remainder.…
  2. (p2 + 7p - 5) ÷ (p + 3) Divide and write the quotient and the remainder.…
  3. (3x + 2x2 + 4x3) ÷ (x - 4) Divide and write the quotient and the remainder.…
  4. (2m3 + m2 + m + 9) ÷ (2m - 1) Divide and write the quotient and the remainder.…
  5. (3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2) Divide and write the quotient and the remainder.…
  6. (6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2) Divide and write the quotient and the remainder.…
  7. (7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1) Divide and write the quotient and the remainder.…
Practice Set 10.1
Question 1.

Divide. Write the quotient and the remainder.

21m2 ÷ 7m
Answer:




Therefore, quotient = 3m, remainder = 0.
Question 2.

Divide. Write the quotient and the remainder.

40a3 ÷ (-10a)
Answer:




Therefore, quotient = -4a2, remainder = 0.
Question 3.

Divide. Write the quotient and the remainder.

(-48p4) ÷ (-9p2)
Answer:




Therefore, quotientremainder



Question 4.

Divide. Write the quotient and the remainder.

40m5 ÷ 30m3
Answer:




Therefore, quotient, remainder
Question 5.

Divide. Write the quotient and the remainder.

(5x3 - 3x2) ÷ x2
Answer:




Therefore, quotient = 5x – 3, remainder = 0.
Question 6.

Divide. Write the quotient and the remainder.

(8p3 - 4p2) ÷ 2p2
Answer:




Therefore, quotient = 4p – 2 , remainder = 0.
Question 7.

Divide. Write the quotient and the remainder.

(2y3 + 4y2 + 3) ÷ 2y2
Answer:




Therefore, quotient = y + 2, remainder = 3.
Question 8.

Divide. Write the quotient and the remainder.

(21x4 - 14x2 + 7x) ÷ 7x3
Answer:




Therefore, quotient = 3x, remainder = -14x2 + 7x.
Question 9.

Divide. Write the quotient and the remainder.

(6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2
Answer:




Therefore, quotient = 3x3 – 2x2 + 4x + 1, remainder = 0.
Question 10.

Divide. Write the quotient and the remainder.

(25m4 - 15m3 + 10m + 8) ÷ 5m3
Answer:




Therefore, quotient = 5m – 3 , remainder = 10m + 8.
Practice Set 10.2
Question 1.

Divide and write the quotient and the remainder.

(y2 + 10y + 24) ÷ (y + 4)
Answer:






Therefore, quotient = y + 6 , remainder = 0.
Question 2.

Divide and write the quotient and the remainder.

(p2 + 7p - 5) ÷ (p + 3)
Answer:







Therefore, quotient = p + 4 , remainder = -17.
Question 3.

Divide and write the quotient and the remainder.

(3x + 2x2 + 4x3) ÷ (x - 4)
Answer:











Therefore, quotient = 4x2 + 18x + 75, remainder = 300.
Question 4.

Divide and write the quotient and the remainder.

(2m3 + m2 + m + 9) ÷ (2m - 1)
Answer:









Therefore, quotient = m2 + m + 1, remainder = 10.
Question 5.

Divide and write the quotient and the remainder.

(3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2)
Answer:


Rearranging the terms we get,










Therefore, quotient = x2 + x – 5, remainder = x – 2
Question 6.

Divide and write the quotient and the remainder.

(6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2)
Answer:


Rearranging the terms we get,






Therefore, quotient = a – 1, remainder = a2 + a – 1
Question 7.

Divide and write the quotient and the remainder.

(7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1)
Answer:


Factorising the numerator we get,









Therefore, quotientremainder