Zeroes of Polynomials - Grade 9 Chapter 2
Polynomials
Grade 9 – Chapter 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
.
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.
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.
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.
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Presentation Transcript
Polynomials Grade 9 Chapter 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.
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.
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.
