Linear Polynomials Class 9 Maths Notes

These Linear Polynomials revision notes sum up the whole second chapter of the new Ganita Manjari book in one place. Our linear polynomials class 9 maths notes explain terms, degree, the standard form ax + b, how to find a value and a zero, and how every linear polynomial draws a straight line.

• What they cover: terms and degree, the form ax + b, zeros, patterns, and straight-line graphs.
• Who they help: Class 9 students who want a fast, clear revision before a test.
• Why they save time: every rule and worked idea sits on one short page.

These notes are prepared by subject teachers, matched to the current 2026-27 NCERT Ganita Manjari book, and written so a Class 9 student can revise the whole chapter quickly.

What Do Class 9 Maths Linear Polynomials Notes Cover?

The linear polynomials class 9 maths notes cover the full chapter in short, simple parts. You first learn what terms, coefficients, and degree mean. Then you meet the linear polynomial ax + b, find its value at any input, and find its zero. The notes end with linear patterns and straight-line graphs, where the numbers a and b control the whole picture.

Video Walkthrough

Source: PW Class 9 - NEEV on YouTube

Linear Polynomials Class 9 Maths Topic-by-Topic Summary

Here is a short summary of each main topic. Read one part at a time and try a quick example as you go.

Terms, Degree, and the Standard Form

An algebraic expression is a sum of terms. Each term has a coefficient and a variable raised to a whole-number power. A polynomial in one variable uses only whole-number powers, so 2x and √x are not polynomials. The degree is the highest power that appears. Degree 0 is a constant, degree 1 is linear, degree 2 is quadratic, and degree 3 is cubic. A linear polynomial has degree 1 and the standard form ax + b, where a is not zero.

Value and Zero of a Linear Polynomial

To find the value p(k), put the number k in place of every x and simplify. For example, if p(x) = 2x + 3, then p(1) = 5 and p(-2) = -1. Each time x rises by 1, the value rises by a. The zero of a polynomial is the input that makes it equal to 0. For ax + b, set ax + b = 0, so x = -ba. A linear polynomial has exactly one zero, and it is where the graph meets the x-axis.

Patterns and Straight-Line Graphs

When a sequence changes by the same step each time, its nth term is linear. If the step is d and the first term is t₁, then t_n = dn + (t₁ - d). A relationship between two quantities that changes at a steady rate is y = ax + b. The graph of y = ax + b is always a straight line. Here a is the slope, or steepness, and b is the y-intercept, the point (0, b) where the line meets the y-axis.

Key Points and Results to Remember in Linear Polynomials

These are the must-know facts and formulas from the chapter. Keep this short list handy for last-minute revision.

How to Revise Linear Polynomials Quickly

To revise fast, skim the linear polynomials class 9 maths notes above, then find the value and the zero of one polynomial like 2x - 6. Next, plot y = 2x + 1 using two points, and read its slope and intercept. This short loop fixes the chapter. The time you need depends on whether this is a revision or a first read.

How will Collegedunia's Notes Help You with Linear Polynomials?

Collegedunia gives you these linear polynomials class 9 maths notes as one clean revision page that matches the new book exactly. You get the definitions, the formulas, and the common traps together, so revision is quick.

• 2026-27 book match: Every point follows the new Ganita Manjari chapter, not the old syllabus.
• Plain language: Short sentences and simple words make each idea easy to read.
• Formulas in one box: The value, zero, and graph rules sit together for fast recall.
• Free PDF: Download the notes and revise offline before your annual exam.

More Linear Polynomials Maths Class 9 Resources

NCERT Notes for Class 9 Maths: All Chapters

Use the table below to open the NCERT Notes for any other chapter of the new Class 9 Maths book.