Check whether x = 5 , - 5 are zeros of the polynomial x 2 + 5 or not.

Zeros of a polynomial is a point where the value of the polynomial becomes zero. Here we have p x = x 2 + 5 If we replace x by 5 in the expression, we get p 5 = 5 2 + 5 ⇒ p 5 = 5 + 5 ⇒ p 5 = 10 Now, again we replace x by - 5 in the expression, we get p - 5 = - 5 2 + 5 ⇒ p - 5 = 5 + 5 ⇒ p - 5 = 10 Thus, as p 5 ≠ 0 and p - 5 ≠ 0 , we say that both the points are not the zeros of the given polynomial expression.

Check whether x = 1 3 , 2 are zeros of the polynomial 3 x 2 - 5 x - 2 or not.

Zeros of a polynomial is a point where the value of the polynomial becomes zero. Here we have p x = 3 x 2 - 5 x - 2 If we replace x by 1 3 in the expression, we get p 1 3 = 3 1 3 2 - 5 × 1 3 - 2 ⇒ p 1 3 = 1 3 - 5 3 - 2 ⇒ p 1 3 = 1 - 5 - 6 3 ⇒ p 1 3 = - 10 3 Now, again we replace x by 2 in the expression, we get p 2 = 3 × 2 2 - 5 × 2 - 2 ⇒ p 2 = 12 - 10 - 2 ⇒ p 2 = 0 Thus, as p 1 3 ≠ 0 and p 2 = 0 , we say that 2 is the zero of the given polynomial expression.

E M B I B E

Mathematics for Class 9>Chapter 2 - Polynomials>EXERCISE 2.2

Manipur Board Solutions for Chapter: Polynomials, Exercise 2: EXERCISE 2.2

Author:Manipur Board

Manipur Board Mathematics Solutions for Exercise - Manipur Board Solutions for Chapter: Polynomials, Exercise 2: EXERCISE 2.2

Attempt the practice questions on Chapter 2: Polynomials, Exercise 2: EXERCISE 2.2 with hints and solutions to strengthen your understanding. Mathematics for Class 9 solutions are prepared by Experienced Embibe Experts.