Why are 1 4 and - 1 are zeroes of the polynomials p ( x ) = 4 x 2 + 3 x - 1 ?

Given, p ( x ) = 4 x 2 + 3 x - 1 A real number k is the zero of the polynomial p y if p k = 0 . Therefore, if p ( x ) = 0 , for a given x then the value of x is zero of polynomial, p ( x ) = 4 x 2 + 3 x - 1 . For 1 4 , p ( x ) = 4 x 2 + 3 x - 1 ⇒ p 1 4 = 4 1 4 2 + 3 1 4 - 1 = 1 4 + 3 4 - 1 = 1 - 1 ⇒ p 1 4 = 0 Therefore, x = 1 4 is a zero of the polynomial 4 x 2 + 3 x - 1 . For x = - 1 p - 1 = 4 - 1 2 + 3 - 1 - 1 = 4 - 3 - 1 = 0 Therefore, x = - 1 is a zero of the polynomial 4 x 2 + 3 x - 1 . Hence, x = 1 4 and x = - 1 are zeroes of the polynomial 4 x 2 + 3 x - 1 .

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Mathematics Class 10>Chapter 3 - Polynomials>Exercise

Telangana Board Solutions for Chapter: Polynomials, Exercise 11: Exercise

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Polynomials, Exercise 11: Exercise

Attempt the practice questions on Chapter 3: Polynomials, Exercise 11: Exercise with hints and solutions to strengthen your understanding. Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.