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

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

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)
Maharashtra Board Class 8 Maths Solutions Chapter 10 Division of Polynomials Practice Set 10.2 1
∴ Quotient = y + 6
Remainder = 0

ii. (p2 + 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 + 2x2 + 4x3) ÷ (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. (2m3 + m2 + 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 – 3x2 – 12 + x4 + x3) ÷ (2 + x2)
Write the dividend in descending order of their indices.
(x4 + x3 – 3x2 + 3x – 12) ÷ (x2 + 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. (a4 – a3 + a2 – a + 1) ÷ (a3 – 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. (4x4 – 5x3 – 7x + 1) ÷ (4x – 1)
Write the dividend in descending order of their indices.
(4x4 – 5x3 – 7x + 1) = (4x4 – 5x3 + 0x2 – 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 = \(\frac { -13 }{ 16 }\)

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