## RD Sharma class 9 maths Solutions Factorization of Polynomials Exercise-6.5

- Factorization of Polynomials Chapter 6 Ex 6.1
- Factorization of Polynomials Chapter 6 Ex 6.2
- Factorization of Polynomials Chapter 6 Ex 6.3
- Factorization of Polynomials Chapter 6 Ex 6.4
- Factorization of Polynomials Chapter 6 Ex 6.5

### RD Sharma Solutions Class 9 Chapter 6 Factorisation of Polynomials Ex 6.5

Using factor theorem, factorize each of the following polynomials:

Question 1.

x^{3} + 6x^{2} + 11x + 6

Solution:

Question 2.

x^{3} + 2x^{2} – x – 2

Solution:

Question 3.

x^{3} – 6x^{2} + 3x + 10

Solution:

Question 4.

x^{4} – 7x^{3} + 9x^{2} + x- 10

Solution:

Question 5.

3x^{3} – x^{2} – 3x + 1

Solution:

Question 6.

x^{3} – 23x^{2} + 142x – 120 [NCERT]

Solution:

Question 7.

y^{3} – 7y + 6

Solution:

Let f(y) = y^{3} – 7y + 6

Question 8.

X^{3} -10x^{2} – 53x – 42

Solution:

Question 9.

y^{3} – 2y^{2}– 29y – 42

Solution:

Question 10.

2y^{3} – 5y^{2} – 19y + 42

Solution:

Question 11.

x^{3} + 13^{2} + 32x + 20 [NCERT]

Solution:

Question 12.

x^{3} – 3x^{2} – 9x – 5 [NCERT]

Solution:

Question 13.

2y^{3}+ y^{2} – 2y – 1 [NCERT]

Solution:

Question 14.

x^{3} – 2x^{2} – x + 2

Solution:

Question 15.

Factorize each of the following polynomials:

(i) x^{3} + 13x^{2} + 31x – 45 given that x + 9 is a factor

(ii) 4x^{3} + 20x^{2} + 33x + 18 given that 2x + 3 is a factor

Solution:

Question 16.

x^{4} – 2x^{3} – 7x^{2} + 8x + 12

Solution:

Question 17.

x^{4} + 10x^{3} + 35x^{2} + 50x + 24

Solution:

Question 18.

2x^{4} – 7x^{3} – 13x^{2} + 63x – 45

Solution:

### RD Sharma class 9 maths Solutions Factorization of Polynomials Exercise-6.5

RD Sharma class 9 maths Solutions Factorization of Polynomials Exercise-6.5 Chapter 6 Q 1.

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