Understanding Zeroes of Polynomials - Grade 9 Chapter 2

Zeroes of a polynomial are the values of the variable that make the polynomial equal to zero. This concept is explored in Grade 9 Chapter 2, where students learn how to find the zeroes of a polynomial by equating it to zero. Through examples like p(x) = x - 4, students understand how to determine the zeroes of a polynomial and their significance. The concept of zeroes, roots, and the properties related to them are explained, helping students grasp the fundamentals of polynomials.

• Polynomials
• Zeroes
• Grade 9
• Mathematics
• Roots

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1. Polynomials Grade 9 Chapter 2

2. Zeroes of a Polynomial: Zeroes of a Polynomial: Zeroes of a polynomial p(x) is a number a such that p(a) = 0. If p(x) is a polynomial then the number a will be the zero of the polynomial with p(a) = 0. We can find the zero of the polynomial by equating it to zero.

3. Example: 1 Given polynomial is p(x) = x - 4 To find the zero of the polynomial we will equate it to zero. x - 4 = 0 x = 4 p(4) = x 4 = 4 4 = 0 This shows that if we place 4 in place of x, we got the value of the polynomial as zero. So 4 is the zero of this polynomial. And also we are getting the value 4 by equating the polynomial by 0. So 4 is the zero of the polynomial or root of the polynomial.

10. Note Zero may be a zero of a polynomial. Every linear polynomial has one and only one zero. Zero of a polynomial is also called the root of the polynomial. A non-zero constant polynomial has no zero. Every real number is a zero of the zero polynomial. A polynomial can have more than one zero. The maximum number of zeroes of a polynomial is equal to its degree.