Evaluating Polynomials
The value of a polynomial at a given value of the variable is termed an evaluation of a polynomial.
Examples
Question 1: Evaluate the polynomial x2 + 3?
Solution:
Let, p(x) = x2 + 3
Value of polynomial at x = 3 will be:
p(3) = (3)2 + 3
=> p(3) = 9 + 3
=> p(3) = 12
Question 2: Evaluate the polynomial x2 + 2x + 6?
Solution:
Let, q(x) = x2 + 2x + 6
Value of q(x) at x = 0
q(0) = (0)3 + 2(0) + 6
=> q(0) = 6
Polynomials in One Variable | Polynomials Class 9 Maths
Polynomials in One Variable: Polynomial word originated from two words “poly” which means “many” and the word “nominal” which means “term”. In maths, a polynomial expression consists of variables known as indeterminate and coefficients. Polynomials are expressions with one or more terms with a non-zero coefficient.
A polynomial can have more than one term. In the polynomial, each expression in it is called a term. Suppose x2 + 5x + 2 is a polynomial, then the expressions x2, 5x, and 2 are the terms of the polynomial. Each term of the polynomial has a coefficient. For example, if 2x + 1 is the polynomial, then the coefficient of x is 2. But in this article, we will discuss the polynomial in one variable. In general,
The algebraic expressions with only one variable are known as Polynomials in one variable.
Polynomials in One Variable
Table of Content
- What are Polynomials in One Variable?
- Polynomial Examples
- Degree of Polynomials
- Evaluating Polynomials
- Factors of the Polynomial
- Finding Factors and Zeroes of Polynomial
- Graphical Representation of Polynomials
- Polynomials in One Variable Worksheet
- FAQs on Polynomials in One Variable