Polynomials - Class 9 CBSE Mathematics Guide | NCERT Solutions Math Exercise 2.2

Class 9 CBSE Mathematics Guide

POLYNOMIALS

Question.1: Find the value of the polynomial at 5x - 4x² + 3

(i) x = 0 (ii) x = −1 (iii) x = 2

Solution:

p(x) = 5x - 4x² + 3

(i) At x = 0, p(0) = 5 x 0 - 4 x 0² + 3 = 3 Ans.

(ii) At x = –1, p(–1) = 5 x (–1) - 4 x (–1)² + 3 = – 6 Ans.

(iii) At x = 2, p(2) = 5 x 2 - 4 x 2² + 3 = – 3 Ans.

Question.2: 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 + 2t² − t³

(iii) p(x) = x³ (iv) p(x) = (x − 1) (x + 1)

Solution:

Question.3: Verify whether the following are zeroes of the polynomial, indicated against them.

Solution:

Question.4: Find the zero of the polynomial in each of the following cases:

(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5

(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0

(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.

Solution:

We know that zero of a polynomial is that value of the variable at which the value of the polynomial is obtained as 0.