In this chapter, we provide RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 Maths pdf, free RD Sharma Class 8 Solutions Chapter 8 Division of Algebraic Expressions Ex 8.4 book pdf download. Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 8 |

Chapter Name | Division of Algebraic Expressions |

Exercise | Ex 8.4 |

**RD Sharma Solutions for Class 8 Chapter 8 Division of Algebraic Expressions Ex 8.4** **Download PDF**

**Question 1.**

**5x**

^{3}– 15x^{2}+ 25x by 5x**Solution:**

**Question 2.4z ^{3} + 6z^{2}-zby −12 z**

**Solution:**

**Question 3.**

**9x**

^{2}y – 6xy + 12xy^{2}by −32 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 + −12 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}+ 103 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:**

**All Chapter RD Sharma Solutions For Class 8 Maths**

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**All Subject NCERT Solutions For Class 8**

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