Division Of Polynomials Class 8th Mathematics (new) MHB Solution

Division Of Polynomials

Class 8th Mathematics (new) MHB Solution

Class 8^th Mathematics (new) MHB Solution

Practice Set 10.1

1. 21m2 ÷ 7m Divide. Write the quotient and the remainder.
2. 40a3 ÷ (-10a) Divide. Write the quotient and the remainder.
3. (-48p4) ÷ (-9p2) Divide. Write the quotient and the remainder.
4. 40m5 ÷ 30m3 Divide. Write the quotient and the remainder.
5. (5x3 - 3x2) ÷ x2 Divide. Write the quotient and the remainder.
6. (8p3 - 4p2) ÷ 2p2 Divide. Write the quotient and the remainder.
7. (2y3 + 4y2 + 3) ÷ 2y2 Divide. Write the quotient and the remainder.…
8. (21x4 - 14x2 + 7x) ÷ 7x3 Divide. Write the quotient and the remainder.…
9. (6x5 - 4x4 + 8x3 + 2x2) ÷ 2x2 Divide. Write the quotient and the remainder.…
10. (25m4 - 15m3 + 10m + 8) ÷ 5m3 Divide. Write the quotient and the remainder.…

Practice Set 10.2

1. (y2 + 10y + 24) ÷ (y + 4) Divide and write the quotient and the remainder.…
2. (p2 + 7p - 5) ÷ (p + 3) Divide and write the quotient and the remainder.…
3. (3x + 2x2 + 4x3) ÷ (x - 4) Divide and write the quotient and the remainder.…
4. (2m3 + m2 + m + 9) ÷ (2m - 1) Divide and write the quotient and the remainder.…
5. (3x - 3x2 - 12 + x4 + x3) ÷ (2 + x2) Divide and write the quotient and the remainder.…
6. (6*)(a4 - a3 + a2 - a + 1) ÷ (a3 - 2) Divide and write the quotient and the remainder.…
7. (7*)(4x4 - 5x3 - 7x + 1) ÷ (4x - 1) Divide and write the quotient and the remainder.…

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Practice Set 10.1

Question 1.

Divide. Write the quotient and the remainder.

21m² ÷ 7m

Answer:

Therefore, quotient = 3m, remainder = 0.

Question 2.

Divide. Write the quotient and the remainder.

40a³ ÷ (-10a)

Answer:

Therefore, quotient = -4a², remainder = 0.

Question 3.

Divide. Write the quotient and the remainder.

(-48p⁴) ÷ (-9p²)

Answer:

Therefore, quotientremainder 

Question 4.

Divide. Write the quotient and the remainder.

40m⁵ ÷ 30m³

Answer:

Therefore, quotient, remainder

Question 5.

Divide. Write the quotient and the remainder.

(5x³ - 3x²) ÷ x²

Answer:

Therefore, quotient = 5x – 3, remainder = 0.

Question 6.

Divide. Write the quotient and the remainder.

(8p³ - 4p²) ÷ 2p²

Answer:

Therefore, quotient = 4p – 2 , remainder = 0.

Question 7.

Divide. Write the quotient and the remainder.

(2y³ + 4y² + 3) ÷ 2y²

Answer:

Therefore, quotient = y + 2, remainder = 3.

Question 8.

Divide. Write the quotient and the remainder.

(21x⁴ - 14x² + 7x) ÷ 7x³

Answer:

Therefore, quotient = 3x, remainder = -14x² + 7x.

Question 9.

Divide. Write the quotient and the remainder.

(6x⁵ - 4x⁴ + 8x³ + 2x²) ÷ 2x²

Answer:

Therefore, quotient = 3x³ – 2x² + 4x + 1, remainder = 0.

Question 10.

Divide. Write the quotient and the remainder.

(25m⁴ - 15m³ + 10m + 8) ÷ 5m³

Answer:

Therefore, quotient = 5m – 3 , remainder = 10m + 8.

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Practice Set 10.2

Question 1.

Divide and write the quotient and the remainder.

(y² + 10y + 24) ÷ (y + 4)

Answer:

Therefore, quotient = y + 6 , remainder = 0.

Question 2.

Divide and write the quotient and the remainder.

(p² + 7p - 5) ÷ (p + 3)

Answer:

Therefore, quotient = p + 4 , remainder = -17.

Question 3.

Divide and write the quotient and the remainder.

(3x + 2x² + 4x³) ÷ (x - 4)

Answer:

Therefore, quotient = 4x² + 18x + 75, remainder = 300.

Question 4.

Divide and write the quotient and the remainder.

(2m³ + m² + m + 9) ÷ (2m - 1)

Answer:

Therefore, quotient = m² + m + 1, remainder = 10.

Question 5.

Divide and write the quotient and the remainder.

(3x - 3x² - 12 + x⁴ + x³) ÷ (2 + x²)

Answer:

Rearranging the terms we get,

Therefore, quotient = x² + x – 5, remainder = x – 2

Question 6.

Divide and write the quotient and the remainder.

(6*)(a⁴ - a³ + a² - a + 1) ÷ (a³ - 2)

Answer:

Rearranging the terms we get,

Therefore, quotient = a – 1, remainder = a² + a – 1

Question 7.

Divide and write the quotient and the remainder.

(7*)(4x⁴ - 5x³ - 7x + 1) ÷ (4x - 1)

Answer:

Factorising the numerator we get,

Therefore, quotientremainder