Class 9 2. Polynomials Exercise 2.2: NCERT Book Solutions
Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams.
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All chapters of ncert books Mathematics 2. Polynomials Exercise 2.2 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 ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.2: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.2 Mathematics class 9th:English Medium NCERT Book Solutions. Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams.
2. Polynomials : Exercise 2.2 Mathematics class 9th:English Medium NCERT Book Solutions
Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.2: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.2 Mathematics class 9th:English Medium NCERT Book Solutions.
Class 9 2. Polynomials Exercise 2.2: NCERT Book Solutions
NCERT Books Subjects for class 9th Hindi Medium
2. Polynomials
Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams.
Exercise 2.2
2. Polynomials
Exercise 2.2
Q1. Find the value of the polynomial 5x – 4x2 + 3 at
(i) x = 0 (ii) x = –1 (iii) x = 2
Solution:
(i) p(x) = 5x - 4x2 + 3
The value of the polynomial p(x) at x = 0 is given by
P(0) = 5(0) - 4(0)2 + 3
= 0 - 0 + 3
= 3
(ii) p(x) = 5x - 4x2 + 3
The value of the polynomial p(x) at x = 1 is given by
P(1) = 5(1) - 4(1)2 + 3
= 5 - 4 + 3
= 4
(iii) p(x) = 5x - 4x2 + 3
The value of the polynomial p(x) at x = 2 is given by
P(2) = 5(2) - 4(2)2 + 3
= 10 -16 + 3
= - 9
Q2.Find p(0), p(1) and p(2) for each of the following polynomials:
(i) p(y) = y2 – y + 1
(ii) p(t) = 2 + t + 2t 2 – t 3
(iii) p(x) = x3
(iv) p(x) = (x – 1) (x + 1)
Solution:
(i) p(y) = y2 - y + 1
P(0) = (0)2- 0 + 1
=1
P(1) = (1)2- 1 + 1
= 1 - 1 + 1
= 1
P(2) = (2)2- 2 + 1 = 4 - 2 + 1 = 3
(ii) p(t) = 2 + t + 2t2- t3
P(0) = 2 + 0 + 2(0)2- (0)3
=2
P(1) = 2 + 1 + 2(1)2 - (1)3
= 4
P(2) = 2 + 2 + 2(2)2- (2)3
= 4 + 8 - 8
= 4
(iii) p(x) = x3
P(0)=(0)3 =0
P(1)=(1)3 =1
P(2)=(2)3=8
(iv)p(x) = (x – 1) (x + 1)
P(0)= (0-1) (0+1)=(-1) (1) =-1
P(1)= (1-1) (1+1) =0(1) =0
P(2)= (2-1) (2+1)=1(3) =3
Q3. Verify whether the following are zeroes of the polynomial, indicated against them.
Solution:
Q4. Find the zero of the polynomial in each of the following cases:
(i) P(x) = x + 5
(ii) P(x) = x – 5
(iii) Px) = 2x + 5
(iv) P(x) = 3x – 2
(v) P(x) = 3x
(vi) P(x) = ax, a ≠ 0
Solution (i) :
(i) P(x) = x + 5
⇒ x + 5 = 0
⇒ x = - 5
The zero of the polynomial is - 5.
Solution (ii) :
(ii) P(x) = x – 5
⇒ x – 5 = 0
⇒ x = 5
The zero of the polynomial is 5.
The zero of the polynomial is - 5/2.
(iv) P(x) = 3x - 2
3x - 2 = 0
The zero of the polynomial is 2/3.
Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams.
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Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams. - 2. Polynomials - Exercise 2.2: NCERT Book Solutions for class 9th. All solutions and extra or additional solved questions for 2. Polynomials : Exercise 2.2 Mathematics class 9th:English Medium NCERT Book Solutions. Class 9 chapter 2. Polynomials ncert exercise questions and textual questions with solution for board exams and term 1 and term 2 exams.
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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
