Introduction to Linear Polynomials — Syllabus
CBSE · Class 9 · Mathematics
What Introduction to Linear Polynomials covers in CBSE Class 9 Mathematics: 4 topics, for the 2026-27 session.
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Topics in Introduction to Linear Polynomials
1. Algebraic expressions and one-variable polynomials
- An algebraic expression may contain numbers, variables, and operation symbols.
- In 4x + 5y + 3, 4x, 5y, and 3 are terms.
- In 4x + 5y + 3, x and y are variables, 4 and 5 are coefficients, and 3 is a constant.
2. Linear polynomials, linear equations, and input-output form
- Polynomials of degree 1 are called linear polynomials.
- When a linear polynomial in one variable is equated to a constant, a linear equation is formed.
- A polynomial can be thought of as an input-output process, that is, a function.
3. Linear patterns in sequences and word problems
- The sequence 1, 3, 5, 7, 9, 11, 13 has constant difference 2.
- The number of square tiles at Stage n is 2n - 1.
- 2n - 1 is a linear polynomial of degree 1.
4. Linear growth and linear decay
- Linear growth means a quantity increases by a constant amount over equal intervals.
- Linear decay means a quantity decreases by a constant amount over equal intervals.
- In Example 9, the journey cost function is C(d) = 100 + 60d.
Key Concepts
Central concept: Linear polynomials and linear relationships
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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