Class 9 Maths — Chapter 2: POLYNOMIALS

What you'll learn

• ▸Identifying Polynomials in One Variable
• ▸Terminology: Terms and Coefficients
• ▸Degree of a Polynomial
• ▸Classification by Number of Terms
• ▸Classification by Degree
• ▸Value of a Polynomial

Chapter Summary

--- PAGE 1 --- CHAPTER 2 POLYNOMIALS 2.1 Introduction You have studied algebraic expressions, their addition, subtraction, multiplication and division in earlier classes. You also have studied how to factorise some algebraic expressions. You may recall the algebraic identities : (x + y)² = x² + 2xy + y² (x - y)² = x² - 2xy + y² x² - y² = (x + y) (x - y) and and their use in factorisation. In this chapter, we shall start our study with a particular type of algebraic expression, called polynomial, and the terminology related to it. We shall also study the Remainder Theorem and Factor Theorem and their use in the factorisation of polynomials. In addition to the above, we shall study some more algebraic identities and their use in factorisation and in evaluating some given expressions. 2.2 Polynomials in One Variable Let us begin by recalling that a variable is denoted by…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Define polynomial in simple terms. Get Solution →
2. Show a real-world polynomial example. Get Solution →
3. Explain how exponents work. Get Solution →
4. According to the text, what is a polynomial with only one term called? Get Solution →
5. What is the name for a polynomial of degree one? Get Solution →
6. A polynomial having only two terms is called a what? Get Solution →
7. What is the degree of the polynomial 5x³ + 4x² + 7x? Get Solution →
8. What is the coefficient of x² in the polynomial 2 + x² + x? Get Solution →

Did you know?

• 💡 Polynomials help engineers design exciting roller coaster loops and curves.
• 💡 Ancient Babylonians used tables to solve early forms of algebraic equations.
• 💡 The word "algebra" comes from a 9th-century Arabic book title.
• 💡 Rene Descartes popularized using letters like x, y, and z for variables.
• 💡 Polynomials can predict the path of a thrown ball or a rocket.

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