Class 9 Maths - KERALA
Linear Polynomials
The chapter Linear Polynomials in the Kerala SCERT Class 9 mathematics syllabus builds a strong foundation for algebra. Students learn about algebraic expressions, polynomials in one variable, degree of polynomials, and the value of polynomials. The chapter introduces the concept of linear polynomials, which are expressions of the highest degree one, and explores how to find their roots or zeroes. Understanding this topic is crucial for Class 9 board exams and serves as the stepping stone for solving linear equations, simultaneous equations, and graphing lines in higher classes.
Start Learning FreeKey Concepts
Algebraic Expression
A combination of numbers and variables connected by basic mathematical operations like addition, subtraction, multiplication, and division.
Polynomial in One Variable
An algebraic expression involving only one variable where all the exponents of the variable are non-negative integers.
Degree of a Polynomial
The highest power of the variable present in a polynomial expression.
Linear Polynomial
A polynomial of degree 1, generally written in the standard form ax + b, where 'a' and 'b' are real numbers and a ≠ 0.
Zero of a Polynomial
The specific value of the variable for which the value of the polynomial becomes zero.
Important Formulas
Board Exam Info
In the Kerala (SCERT) Class 9 mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include finding the degree of given polynomials, evaluating the value of a polynomial for a specific number, 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 algebraic expression like 2x + 3, whereas a linear equation includes an equality sign, such as 2x + 3 = 0.
How do we find the zero of a linear polynomial?
To find the zero of a linear polynomial P(x) = ax + b, equate the polynomial to zero (ax + b = 0) and solve for x, which gives x = -b/a.
Can the coefficient 'a' be zero in a linear polynomial ax + b?
No, 'a' cannot be zero because if a = 0, the term with the variable disappears, leaving only a constant, which reduces the degree to zero.
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