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

∴ Quotient = 3m
Remainder = 0
ii. 40a³ ÷ (-10a)

∴ Quotient = -4a²
Remainder = 0
iii. (- 48p
4) ÷ (- 9p
2)

∴ Quotient = \(\frac { 16 }{ 3 }\) p²
Remainder = 0
iv. 40m
5 ÷ 30m
3

∴ Quotient = \(\frac { 4 }{ 3 }\) m²
Remainder = 0
v. (5x
3 – 3x
2) ÷ x²

∴ Quotient = 5x – 3
Remainder = 0
vi. (8p
3 – 4p
2) ÷ 2p
2

∴ Quotient = 4p – 2
Remainder = 0
vii. (2y
3 + 4y
2 + 3 ) ÷ 2y
2

∴ Quotient = y + 2
Remainder = 3
viii. (21x
4 – 14x
2 + 7x) ÷ 7x
3

∴ Quotient = 3x
Remainder = -14x² + 7x
ix. (6x
5 – 4x
4 + 8x
3 + 2x
2) ÷ 2x
2

∴ Quotient = 3x³ – 2x² + 4x + 1
Remainder = 0
x. (25m
4 – 15m
3 + 10m + 8) ÷ 5m
3

∴ Quotient = 5m – 3
Remainder = 10m + 8
Maharashtra Board Class 8 Maths Chapter 10 Division of Polynomials Practice Set 10.1 Intext Questions and ActivitiesQuestion 1.
Fill in the blanks in the following examples. (Textbook pg. no. 61)
Solution: