Class 9 Maths — Chapter 2: POLYNOMIALS
Chapter 2: POLYNOMIALS is a chapter in Class 9 Maths (NCERT), part of the CBSE NCERT curriculum followed by over 25 million students across India. This chapter covers 6 topics including Identifying Polynomials in One Variable, Terminology: Terms and Coefficients, Degree of a Polynomial. BrainWeave provides free AI-powered explanations — by voice or text, in Hindi or English — with no signup required.
What you'll learn
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▸Identifying Polynomials in One VariableCore conceptpolynomialwhole number exponentone variablealgebraic expressioncoefficient
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▸Terminology: Terms and CoefficientsCore concepttermscoefficientconstant polynomialzero polynomialp(x)
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▸Degree of a PolynomialCore conceptdegreehighest powerexponentconstant polynomialnon-zero constant
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▸Classification by Number of Termsmonomialbinomialtrinomialclassifynumber of terms
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▸Classification by DegreeCore conceptlinear polynomialquadratic polynomialcubic polynomialdegree 1ax+b
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▸Value of a PolynomialCore conceptvalue of polynomialsubstituteevaluatep(x)p(0)
Chapter Summary
Understanding the definition of a polynomial, which requires that the exponents of the variable must be whole numbers. Students should be able to differentiate polynomials from other algebraic expressions where variable exponents are negative or fractional.
Identifying the individual components of a polynomial, including its terms (e.g., 4x², -3x, 7) and the numerical coefficient of each variable term, as well as the constant term.
Determining the degree of a polynomial by identifying the highest power (exponent) of the variable in any term. This includes knowing that the degree of a non-zero constant polynomial is 0.
Categorizing polynomials based on the number of non-zero terms they contain, specifically as monomials (one term), binomials (two terms), and trinomials (three terms).
Categorizing polynomials based on their degree, including linear (degree 1), quadratic (degree 2), and cubic (degree 3) polynomials, and understanding their general forms.
Calculating the numerical value of a polynomial for a specific value of the variable (e.g., finding p(1) for p(x) = 5x³ – 2x² + 3x – 2) by substituting the given value and simplifying the expression.
Practice Questions from this Chapter
Tap "Get Solution" on any question to ask our AI tutor.
- Define polynomial in simple terms. Get Solution →
- Show a real-world polynomial example. Get Solution →
- Explain how exponents work. Get Solution →
- According to the text, what is a polynomial with only one term called? Get Solution →
- What is the name for a polynomial of degree one? Get Solution →
- A polynomial having only two terms is called a what? Get Solution →
- What is the degree of the polynomial 5x³ + 4x² + 7x? Get Solution →
- 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.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 6 key topics: Identifying Polynomials in One Variable, Terminology: Terms and Coefficients, Degree of a Polynomial, Classification by Number of Terms, Classification by Degree, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 2: POLYNOMIALS important for board exams?
Class 9 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.
Can I get NCERT solutions for this chapter in Hindi?
Yes. BrainWeave's AI tutor supports Hindi, English, and Hinglish for both voice and text chat. Just ask your question in your preferred language.
Is BrainWeave free for Class 9?
Yes. BrainWeave's free Spark plan gives generous daily messages — enough for regular homework. Premium features unlock when you bring your own free Google Gemini API key.
Can I use voice chat for this chapter?
Absolutely. Tap the mic, ask any question about Chapter 2: POLYNOMIALS, and the AI tutor will explain it back in voice and text.
How is BrainWeave better than static NCERT solutions sites?
Static solution sites give the same answer to everyone. BrainWeave adapts to your question — ask "explain like I'm 12" or "give a real-world example" and get a personalized response. Voice mode and Hindi support work seamlessly.
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