Mathematics
Linear polynomials
In this Class 9 Mathematics topic from “Introduction to Polynomials,” students learn how to recognize and work with linear polynomials, whose degree is one and which are commonly written as ax + b, where a is non-zero. They identify the variable, coefficient, constant term, and degree, distinguish linear polynomials from other types, evaluate them for given values, and understand how to find their zero. These ideas build a foundation for simplifying expressions and studying polynomial relationships.
Topic overviewटॉपिक का परिचय
Concept revisionअवधारणाओं का पुनरावर्तन
If the highest power in a polynomial is 1, what is it called?
The governing concept is classification by the degree of a polynomial. The degree of a non-zero polynomial is the greatest exponent of its variable having a non-zero coefficient.
Which expression is not a linear polynomial?
A linear polynomial has highest exponent 1 and is of the form \(ax+b\), where \(a\neq 0\). In \(x^2+1\), the highest exponent of \(x\) is 2, so it is a quadratic polynomial, not a linear polynomial.
What type of polynomial is (4x-9)?
In \(4x-9\), the highest power of \(x\) is \(1\), so its degree is 1. A polynomial of degree 1 is called a linear polynomial.