Class 9 2. Polynomials Exercise 2.3: NCERT Book Solutions
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams.
NCERT Solutions
All chapters of ncert books Mathematics 2. Polynomials Exercise 2.3 is solved by exercise and chapterwise for class 9 with questions answers also with chapter review sections which helps the students who preparing for UPSC and other competitive exams and entrance exams.
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.3: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.3 Mathematics class 9th:English Medium NCERT Book Solutions. Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams.
2. Polynomials : Exercise 2.3 Mathematics class 9th:English Medium NCERT Book Solutions
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.3: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.3 Mathematics class 9th:English Medium NCERT Book Solutions.
Class 9 2. Polynomials Exercise 2.3: NCERT Book Solutions
NCERT Books Subjects for class 9th Hindi Medium
2. Polynomials
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams.
Exercise 2.3
Chapter 2. Polynomials
Exercise 2.3
Solution:
(i)By remainder theorem, the required remainder is equal to p(x) = (-1)
P (-1) = x3+ 3x2+ 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) = x3+ 3x2+ 3x+1
P(π) = (- π)3 + 3(-π)2 + 3(-π) + 1
= (-π)3 + 3π2 + 3π + 1
Required remainder is p (π) = 0
Required remainder is p (- 5/2) = 0
Q.2. find the remainder when x3- ax2 + 6x - a is divided by x- a.
Solution: Let P(x) = x3- ax2+ 6x- a . P(x) = a.
By remainder theorem
P (a) = (a)3- a(a)2+ 6(a) - a
=a3-a3 + 6a - a
Remainder = 5a
Q3. Check whether 7 + 3x is a factor of 3x3 + 7x.
Solution:
g(x) = 7 + 3x = 0
⇒ 3x = - 7
P(x) ≠ 0
Therefore, 7 + 3x is not a factor of P(x).
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams.
See other sub-topics of this chapter:
Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.3: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.3 Mathematics class 9th:English Medium NCERT Book Solutions. Class 9 chapter 2. Polynomials important extra short questions with solution for board exams and term 1 and term 2 exams.
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Notes And NCERT Solutions
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Mathematics Chapter List
1. Number Systems
2. Polynomials
3. Coordinate Geometry
4. Linear Equation In Two Variables
5. Introduction To Euclid’s Geometry
6. Lines and Angles
7. Triangles
8. Quadrilaterals
9. Area Parallelograms and Triangles
10. Circles
11. Constructions
12. Herons Formula
13. Surface Areas and Volumes
14. Statistics
15. Probability
