Practice Set 10.1 Class 8 Answers Chapter 10 Division of Polynomials Maharashtra Board

Balbharti Maharashtra State Board Class 8 Maths Solutions covers the Practice Set 10.1 8th Std Maths Answers Solutions Chapter 10 Division of Polynomials.

Division of Polynomials Class 8 Maths Chapter 10 Practice Set 10.1 Solutions Maharashtra Board

Std 8 Maths Practice Set 10.1 Chapter 10 Solutions Answers

Question 1.
Divide and write the quotient and the remainder.
i. 21m² ÷ 7m
ii. 40a³ ÷ (-10a)
iii. (- 48p 4 ) ÷ (- 9p 2 )
iv. 40m 5 ÷ 30m 3
v. (5x 3 – 3x 2 ) ÷ x²
vi. (8p 3 – 4p 2 ) ÷ 2p 2
vii. (2y 3 + 4y 2 + 3 ) ÷ 2y 2
viii. (21x 4 – 14x 2 + 7x) ÷ 7x 3
ix. (6x 5 – 4x 4 + 8x 3 + 2x 2 ) ÷ 2x 2
x. (25m 4 – 15m 3 + 10m + 8) ÷ 5m 3
Solution:
i. 21m² ÷ 7m
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-1
∴ Quotient = 3m
Remainder = 0

ii. 40a³ ÷ (-10a)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-2
∴ Quotient = -4a²
Remainder = 0

iii. (- 48p 4 ) ÷ (- 9p 2 )
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-3
∴ Quotient = \(\frac { 16 }{ 3 }\) p²
Remainder = 0

iv. 40m 5 ÷ 30m 3
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-4
∴ Quotient = \(\frac { 4 }{ 3 }\) m²
Remainder = 0

v. (5x 3 – 3x 2 ) ÷ x²
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-5
∴ Quotient = 5x – 3
Remainder = 0

vi. (8p 3 – 4p 2 ) ÷ 2p 2
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-6
∴ Quotient = 4p – 2
Remainder = 0

vii. (2y 3 + 4y 2 + 3 ) ÷ 2y 2
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-7
∴ Quotient = y + 2
Remainder = 3

viii. (21x 4 – 14x 2 + 7x) ÷ 7x 3
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-8
∴ Quotient = 3x
Remainder = -14x² + 7x

ix. (6x 5 – 4x 4 + 8x 3 + 2x 2 ) ÷ 2x 2
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-9
∴ Quotient = 3x³ – 2x² + 4x + 1
Remainder = 0

x. (25m 4 – 15m 3 + 10m + 8) ÷ 5m 3
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.1-10
∴ Quotient = 5m – 3
Remainder = 10m + 8

Maharashtra Board Class 8 Maths Chapter 10 Division of Polynomials Practice Set 10.1 Intext Questions and Activities

Question 1.
Fill in the blanks in the following examples. (Textbook pg. no. 61)

  1. 2a + 3a = __
  2. 7b – 4b = __
  3. 3p × p² = __
  4. 5m² × 3m² = __
  5. (2x + 5y) × \(\frac { 3 }{ x }\) = __
  6. (3x² + 4y) × (2x + 3y) = __

Solution:

  1. 2a + 3a = 5a
  2. 7b – 4b = 3b
  3. 3p × p² = 3p³
  4. 5m² × 3m² = 15m 4
  5. (2x + 5y) × \(\frac { 3 }{ x }\) = \(6+\frac { 15y }{ x }\)
  6. (3x² + 4y) × (2x + 3y) = 6x³ + 9x²y + 8xy + 12y²