Find Zero of Polynomial

Algebraic Expression	Algebraic Equation	Ordering of Polynomials	Types of Polynomials	Addition of Polynomials
Subtraction of Polynomials	Multiplication of Polynomials	Division of Polynomials	Types of Degree / Powers in Polynomials	Difference between Polynomials of Integers & Rationals
Find Value of Polynomial	Find Zero of Polynomial	Remainder Theorem in Polynomial	Linear Equations	Quadratic Equation
Factoring of Quadratic Polynomials

Before you understand how to find zero of polynomial, you are advised to read: What is Value of Polynomial ? What is Zero of Polynomial ? When with the value of a variable we get value of the polynomial equals to 0 (zero), then said value of variable is known as Zero of Polynomial . Or we can say that: Zero of a polynomial p(x) is a number 'c' such that p(c) = 0 Or this can also be written as: If p(c) = 0, then 'c' is referred to as Zero of Polynomial p(x) Lets study the following examples to understand how to find the zero of polynomial. Example 1: Check whether x = 2 or x = 3, is the Zero of Polynomial x3 + x - 10 Solution: Given polynomial is: p(x) = x3 + x - 10 If x = 2, find the value of p(x) and we get: p(2) = (2)3 + 2 - 10 = 8 + 2 - 10 = 10 - 10 = 0 If x = 3, find the value of p(x) and we get: p(3) = (3)3 + 3 - 10 = 27 + 3 - 10 = 30 - 10 = 20 No, you can observe that when x = 2, we get p(x) = 0. Hence, 2 is referred to as Zero of Polynomial x3 + x - 10 Example 2: Check whether t = 3 or t = (-3), is the Zero of Polynomial t2 - t - 12 Solution: Given polynomial is: p(t) = t2 - t - 12 If t = 3, find the value of p(t) and we get: p(3) = (3)2 - 3 - 12 = 9 - 3 - 12 = 9 - 15 = (-6) If t = (-3), find the value of p(t) and we get: p(-3) = (-3)2 - (-3) - 12 = 9 + 3 - 12 = 12 - 12 = 0 No, you can observe that when t = (-3), we get p(t) = 0. Hence, (-3) is referred to as Zero of Polynomial t2 - t - 12