Class 9 Mathematics — Chapter 2: Introduction to Linear Polynomials
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise Class 9 Mathematics Chapter 2, "Introduction to Linear Polynomials", with 90 NCERT-aligned multiple-choice questions. The set is split into 30 Easy, 30 Medium and 30 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Introduction to Linear Polynomials" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Introduction to Linear Polynomials, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 90.
Key concepts: Introduction to Linear Polynomials (Class 9 Mathematics)
This chapter studies polynomials in one variable — their degree, zeroes, the remainder and factor theorems, and standard algebraic identities used for factorisation.
- Polynomial & degree
- An expression of the form aₙxⁿ + … + a₁x + a₀ with whole-number powers. The degree is the highest power; linear (1), quadratic (2), cubic (3).
- Zero of a polynomial
- A value of x for which p(x) = 0. A linear polynomial has exactly one zero; the number of zeroes is at most the degree.
- Remainder Theorem
- If p(x) is divided by (x − a), the remainder is p(a).
- Factor Theorem
- (x − a) is a factor of p(x) if and only if p(a) = 0. Used to factorise cubics by trial of small roots.
- Algebraic identities
- Standard identities expand or factorise expressions quickly without long multiplication.
Key formulas — Introduction to Linear Polynomials
💡 Exam tips for Introduction to Linear Polynomials
- To factorise a cubic, test x = ±1, ±2 … in p(x); a value giving 0 gives a factor by the Factor Theorem.
- If a + b + c = 0, then a³ + b³ + c³ = 3abc — a common shortcut in problems.
Sample questions
What is the degree of 7x³ + 2x − 1?
The highest power of x is 3.
For p(x) = 4x + 7, the zero is
4x + 7 = 0 gives x = −7/4.
A line passes through (1, 3) and (3, 7). What is its y-intercept?
Slope = 2, so y = 2x + b; using (1, 3): 3 = 2 + b, b = 1.
Introduction to Linear Polynomials — FAQs
What are the key concepts in Class 9 Mathematics Introduction to Linear Polynomials?+
This chapter studies polynomials in one variable — their degree, zeroes, the remainder and factor theorems, and standard algebraic identities used for factorisation. Key ideas include Polynomial & degree, Zero of a polynomial, Remainder Theorem, Factor Theorem, Algebraic identities.
What does Class 9 Mathematics Chapter 2 (Introduction to Linear Polynomials) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "Introduction to Linear Polynomials" — 30 Easy, 30 Medium and 30 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Introduction to Linear Polynomials" questions free to practise?+
Yes — sign in with Google to practise "Introduction to Linear Polynomials" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Introduction to Linear Polynomials" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Practise all 90 questions free
Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.
Start this chapter free →