Class 9 Maths - HARYANA
Linear Polynomials
In this chapter, Class 9 students under the Haryana Board (BSEH) will study linear polynomials, which are algebraic expressions of the form ax + b where 'a' is not equal to zero. You will learn about the degree of a polynomial, how to find the value of a polynomial for a given value of a variable, and how to find its zero. Understanding linear polynomials is fundamental for solving linear equations in one and two variables, building a strong base for coordinate geometry and advanced algebra in future board exams.
Start Learning FreeKey Concepts
Polynomial in One Variable
An algebraic expression in one variable where the powers of the variable are non-negative integers.
Degree of a Polynomial
The highest power of the variable in a polynomial. For a linear polynomial, the degree is always 1.
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 real value of the variable for which the value of the polynomial becomes zero. It is found by setting the polynomial equal to zero.
Value of a Polynomial
The numerical value obtained by substituting a specific numerical value for the variable in the given polynomial.
Important Formulas
Board Exam Info
In the Haryana Board (BSEH) Class 9 Mathematics examination, this chapter typically carries around 3 to 5 marks. Questions commonly include finding the zero of a given linear polynomial, evaluating polynomial values for specific numbers, and identifying the degree of various polynomials.
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 is a statement that a polynomial equals zero, written as ax + b = 0.
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 is no longer a linear polynomial.
How do I find the zero of the polynomial p(x) = 2x + 4?
To find the zero, equate the polynomial to zero: 2x + 4 = 0. Solving this gives 2x = -4, so x = -2. Thus, -2 is the zero of the polynomial.
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