Our ncert solutions for Exercise 2.3 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

# Exercise 2.3 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

Topper Study classes prepares ncert solutions on practical base problems and comes out with the best result that helps the students and teachers as well as tutors and so many ecademic coaching classes that they need in practical life. Our ncert solutions for Exercise 2.3 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study is the best material for English Medium students cbse board and other state boards students.

## Exercise 2.3 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

CBSE board students who preparing for **class 9 ncert solutions maths and Mathematics** solved exercise **chapter 2. Polynomials** available and this helps in upcoming exams
2023-2024.

### You can Find Mathematics solution Class 9 Chapter 2. Polynomials

- All Chapter review quick revision notes for chapter 2. Polynomials Class 9
- NCERT Solutions And Textual questions Answers Class 9 Mathematics
- Extra NCERT Book questions Answers Class 9 Mathematics
- Importatnt key points with additional Assignment and questions bank solved.

NCERT Solutions do not only help you to cover your syllabus but also will give to textual support in exams 2023-2024 to complete **exercise 2.3 maths class 9 chapter 2** in english medium. So revise and practice these all cbse study materials like class 9 maths chapter 2.3 in english ncert book. Also ensure to repractice all syllabus within time or before board exams for ncert class 9 maths ex 2.3 in english.

See all solutions for class 9 maths chapter 2 exercise 2 in english medium solved questions with answers.

### Exercise 2.3 class 9 Mathematics Chapter 2. Polynomials

Sure! The following topics will be covered in this article

- Exercise 2.3 Class 9 Maths 2. Polynomials - Ncert Solutions - Toppers Study
- Class 9 Ncert Solutions
- Solution Chapter 2. Polynomials Class 9
- Solutions Class 9
- Chapter 2. Polynomials Exercise 2.3 Class 9

## 2. Polynomials

### | Exercise 2.3 |

## Exercise 2.3 Class 9 maths 2. Polynomials - ncert solutions - Toppers Study

**Chapter 2. Polynomials **

**Exercise 2.3**

**Solution: **

(i)By remainder theorem, the required remainder is equal to p(x) = (-1)

P (-1) = x^{3}+ 3x^{2}+ 3x+1

= (-1)^{3 }+ 3 (-1)^{2 }+ 3(-1) + 1

= -1 + 3 – 3 + 1 = 0

Required remainder is p (-1) = 0

Required remainder is p (1/2) = 0

(iv) By remainder theorem, the required remainder is equal to p(x) = - π

P(x) = x^{3}+ 3x^{2}+ 3x+1

P(π) = (- π)^{3 }+ 3(-π)^{2 }+ 3(-π) + 1

= (-π)^{3 }+ 3π^{2 }+ 3π + 1

Required remainder is p (π) = 0

Required remainder is p (- 5/2) = 0

**Q.2.** **find the remainder when x ^{3}- ax^{2 }+ 6x - a is divided by x- a.**

**Solution:** Let P(x) = x^{3}- ax^{2}+ 6x- a . P(x) = a.

By remainder theorem

P (a) = (a)^{3}- a(a)^{2}+ 6(a) - a

=a^{3}-a^{3 }+ 6a - a

Remainder = 5a

**Q3. Check whether 7 + 3x is a factor of 3x ^{3} + 7x. **

**Solution: **

g(x) = 7 + 3x = 0

⇒ 3x = - 7

P(x) ≠ 0

Therefore, 7 + 3x is not a factor of P(x).

##### Other Pages of this Chapter: 2. Polynomials

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