## RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4

These Solutions are part of RD Sharma Class 8 Solutions. Here we have given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4

**Other Exercises**

- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.1
- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.2
- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.3
- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4
- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.5
- RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.6

**Question 1.
**

**5x**

^{3}– 15x^{2}+ 25x by 5x**Solution:**

**Question 2.
**

**4z**

^{3}+ 6z^{2}-zby \(\frac { -1 }{ 2 }\) z**Solution:**

**Question 3.
**

**9x**

^{2}y – 6xy + 12xy^{2}by \(\frac { -3 }{ 2 }\) xy**Solution:**

**Question 4.
**

**3x**

^{2}y^{2}+ 2x^{2}y + 15xy by 3xy**Solution:**

**Question 5.
**

**x**

^{2}+ 7x + 12 by x + 4**Solution:**

**Question 6.
**

**4y**

^{2 }4 + 3y + \(\frac { -1 }{ 2 }\) by 2y + 1**Solution:**

**Question 7.
**

**3x**

^{3}+ 4x^{2}+ 5x + 18 by x + 2**Solution:**

**Question 8.
**

**14x**

^{2}– 53x + 45 by 7a – 9**Solution:**

**Question 9.
**

**-21 + 71x – 31x**

^{2}– 24ax^{3}by 3 – 8ax**Solution:**

**Question 10.
**

**3y**

^{4}– 3y^{3}– 4y^{2}– 4y by y^{2}– 2y**Solution:**

**Question 11.
**

**2y**

^{5}+ 10y^{4}+ 6y^{3}+ y^{2}+ 5y + 3 by 2y^{3}+ 1**Solution:**

**Question 12.
**

**x**

^{4}– 2x^{3}+ 2x^{2}+ x + 4 by x^{2}+ x + 1**Solution:**

**Question 13.
**

**m**

^{3}– 14m^{2}+ 37m – 26 by m^{2}– 12m + 13**Solution:**

**Question 14.
**

**x**

^{4}+ x^{2}+ 1 by x^{2}+ x + 1**Solution:**

**Question 15.
**

**x**

^{5}+ x^{4}+ x^{3}+x^{2}+ x+ 1 by x^{3}+ 1**Solution:**

**Divide each of the following and find the quotient and remainder :**

**Question 16.
**

**14x**

^{3}– 5x^{2}+ 9x -1 by 2x – 1**Solution:**

**Question 17.
**

**6x**

^{3}– x^{2}– 10x – 3 by 2x – 3**Solution:**

**Question 18.
**

**6x**

^{3}+ 11x^{2}– 39x – 65 by 3x^{2}+ 13x + 13**Solution:**

**Question 19.
**

**30a**

^{4}+ 11a^{3}-82a^{2}– 12a + 48 by 3a^{2}+ 2a- 4**Solution:**

**Question 20.
**

**9x**

^{4}– 4x^{2}+ 4 by 3x^{2}– 4x + 2**Solution:**

**Question 21.
**

**Verify division algorithm i.e., Dividend = Divisor * Quotient + Remainder, in each of the following. Also, write the quotient and remainder :**

**Solution:**

**Question 22.
**

**Divide 15y**

^{4}+ 16y^{3}+ \(\frac { 10 }{ 3 }\) y – 9y^{2}– 6 by 3y – 2**Write down the co-efficients of the terms in the quotient.**

**Solution:**

**Question 23.
**

**Using division of polynomials state whether.**

**(i) x + 6 is a factor of x**

^{2}– x – 42**(ii) 4x – 1 is a factor of 4x**

^{2}– 13x – 12**(iii) 2y – 5 is a factor of 4y**

^{4}– 10y^{3}– 10y^{2}+ 30y -15**(iv) 3y + 5 is a factor of 6y**

^{5}+ 15y + 16y + 4y+ 10y – 35**(v) z**

^{2}+ 3 is a factor of z^{5}– 9z**(vi) 2x**

^{2}– x + 3 is a factor of 60x^{5}-x^{4}+ 4x^{3}– 5x^{2 }-x- 15**Solution:**

**Question 24.
**

**Find the value of ‘a’, if x + 2 is a factor of 4x**

^{4}+ 2x^{3}– 3x^{2}+ 8x + 5a.**Solution:**

**Question 25.
**

**What must be added to x**

^{4}+ 2x^{3}— 2x^{2}+ x – 1 so that the resulting polynomial is exactly divisible by x^{2}+ 2x – 3.**Solution:**

Hope given RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 are helpful to complete your math homework.

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