Chapter 10 Division of Polynomials Practice Set 10.2 Solutions

Practice Set 10.2 8th Std Maths Answers Chapter 10 Division of Polynomials

Division of Polynomials Class 8 Practice Set 10.2 Question 1. Divide and write the quotient and the remainder.
i. (y²+ 10y + 24) ÷ (y + 4)
ii. (p²+ 7p – 5) ÷ (p + 3)
iii. (3x + 2x²+ 4x³) ÷ (x – 4)
iv. (2m³+ m²+ m + 9) ÷ (2m – 1)
v. (3x – 3x²– 12 + x⁴+ x³) ÷ (2 + x²)
vi. (a⁴– a³+ a²– a + 1) ÷ (a³– 2)
vii. (4x⁴– 5x³– 7x + 1) ÷ (4x – 1)
Solution:
i. (y²+ 10y + 24) ÷ (y + 4)

∴ Quotient = y + 6
Remainder = 0

ii. (p²+ 7p – 5) ÷ (p + 3)

∴ Quotient = p + 4
Remainder = -17

iii. (3x + 2x²+ 4x³) ÷ (x – 4)
Write the dividend in descending order of their indices.
3x + 2x² + 4x³ = 4x³ + 2x² + 3x

∴ Quotient = 4x² + 18x + 75
Remainder = 300

iv. (2m³+ m²+ m + 9) ÷ (2m – 1)

∴ Quotient = m² + m + 1
Remainder = 10

v. (3x – 3x²– 12 + x⁴+ x³) ÷ (2 + x²)
Write the dividend in descending order of their indices.
(x⁴+ x³– 3x²+ 3x – 12) ÷ (x²+ 2)

∴ Quotient = x² + x – 5
Remainder = x – 2

vi. (a⁴– a³+ a²– a + 1) ÷ (a³– 2)

∴ Quotient = a – 1
Remainder = a² + a – 1

vii. (4x⁴– 5x³– 7x + 1) ÷ (4x – 1)
Write the dividend in descending order of their indices.
(4x⁴– 5x³– 7x + 1) = (4x⁴– 5x³+ 0x²– 7x + 1)

∴ Quotient =
Remainder =