Practice Set 10.2 Class 8 Answers Chapter 10 Division of Polynomials Maharashtra Board

Balbharti Maharashtra State Board Class 8 Maths Solutions covers the Practice Set 10.2 8th Std Maths Answers Solutions Chapter 10 Division of Polynomials.

Division of Polynomials Class 8 Maths Chapter 10 Practice Set 10.2 Solutions Maharashtra Board

Std 8 Maths Practice Set 10.2 Chapter 10 Solutions Answers

Division of Polynomials Class 8 Practice Set 10.2 Question 1. Divide and write the quotient and the remainder.
i. (y 2 + 10y + 24) ÷ (y + 4)
ii. (p 2 + 7p – 5) ÷ (p + 3)
iii. (3x + 2x 2 + 4x 3 ) ÷ (x – 4)
iv. (2m 3 + m 2 + m + 9) ÷ (2m – 1)
v. (3x – 3x 2 – 12 + x 4 + x 3 ) ÷ (2 + x 2 )
vi. (a 4 – a 3 + a 2 – a + 1) ÷ (a 3 – 2)
vii. (4x 4 – 5x 3 – 7x + 1) ÷ (4x – 1)
Solution:
i. (y 2 + 10y + 24) ÷ (y + 4)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-1
∴ Quotient = y + 6
Remainder = 0

ii. (p 2 + 7p – 5) ÷ (p + 3)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-2
∴ Quotient = p + 4
Remainder = -17

iii. (3x + 2x 2 + 4x 3 ) ÷ (x – 4)
Write the dividend in descending order of their indices.
3x + 2x² + 4x³ = 4x³ + 2x² + 3x
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-3
∴ Quotient = 4x² + 18x + 75
Remainder = 300

iv. (2m 3 + m 2 + m + 9) ÷ (2m – 1)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-4
∴ Quotient = m² + m + 1
Remainder = 10

v. (3x – 3x 2 – 12 + x 4 + x 3 ) ÷ (2 + x 2 )
Write the dividend in descending order of their indices.
(x 4 + x 3 – 3x 2 + 3x – 12) ÷ (x 2 + 2)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-5
∴ Quotient = x² + x – 5
Remainder = x – 2

vi. (a 4 – a 3 + a 2 – a + 1) ÷ (a 3 – 2)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-6
∴ Quotient = a – 1
Remainder = a² + a – 1

vii. (4x 4 – 5x 3 – 7x + 1) ÷ (4x – 1)
Write the dividend in descending order of their indices.
(4x 4 – 5x 3 – 7x + 1) = (4x 4 – 5x 3 + 0x 2 – 7x + 1)
Maharashtra-Board-Class-8-Maths-Solutions-Chapter-10-Division-of-Polynomials-Practice-Set-10.2-7
∴ Quotient = \(x^{3}-x^{2}-\frac{x}{4}-\frac{29}{16}\)
Remainder = \(\frac { -13 }{ 16 }\)