Class 9 Maths - RAJASTHAN
Linear Polynomials
In this chapter of Class 9 Mathematics under the Rajasthan Board (RBSE), students delve into polynomials with a focus on linear polynomials. You will learn about algebraic expressions, terms, coefficients, and the degree of polynomials. The chapter introduces the concept of the zero of a polynomial, teaching you how to find the value for which a polynomial becomes zero. These foundational concepts are crucial for solving linear equations in one and two variables, building your problem-solving skills, and preparing you for advanced algebra in higher classes, carrying significant weight in your board-linked school examinations.
Start Learning FreeKey Concepts
Polynomial in One Variable
An algebraic expression of the form p(x) = anxn + an-1xn-1 + ... + a1x + a0 where coefficients are real numbers and exponents of x are non-negative integers.
Degree of a Polynomial
The highest power of the variable in a polynomial is called its degree. For example, 5x - 3 has a degree of 1.
Linear Polynomial
A polynomial of degree 1 is called a linear polynomial, generally expressed in the standard form ax + b, where a and b are real numbers and a ≠ 0.
Zero of a Polynomial
A real number c is called a zero of a polynomial p(x) if p(c) = 0. Geometrically, it is the x-coordinate where the graph intersects the x-axis.
Value of a Polynomial
The value obtained by substituting a specific numerical value for the variable in the given polynomial expression.
Important Formulas
Board Exam Info
In the Rajasthan Board (RBSE) Class 9 Mathematics examinations, this chapter typically carries around 4 to 6 marks. Common question types include finding the value of a polynomial for a given value of the variable, checking whether a given number is a zero of the polynomial, and finding the zero of a linear polynomial.
Frequently Asked Questions
What is the difference between a linear equation and a linear polynomial?
A linear polynomial is an expression of the form ax + b, whereas a linear equation sets that polynomial equal to zero, written as ax + b = 0.
Can a linear polynomial have more than one zero?
No, a linear polynomial of degree 1 always has exactly one and only one zero.
How do I find the zero of the linear polynomial 3x - 6?
Set the polynomial equal to zero: 3x - 6 = 0, which gives 3x = 6, so x = 2. Thus, 2 is the zero of the polynomial.
Learn Linear Polynomials with Your AI Tutor
10 different ways to study this chapter. Free for 3 chapters per day.
Lecture
Key Points
Interactive
Quiz
Flashcards