Polynomials-True/False

This set of 25 True/False questions is designed to help learners strengthen their understanding of key concepts from Class 9 Mathematics Chapter 2: Polynomials. The questions span important topics such as the definition of polynomials, classification by number of terms, rules for degrees and coefficients, and criteria that distinguish valid polynomial expressions from non-polynomials. Learners will encounter statements that encourage them to distinguish between monomials, binomials, and trinomials, determine degrees and coefficients within a polynomial, and correctly identify algebraic expressions that conform to polynomial rules. The set also highlights foundational theorems like the remainder and factor theorems, explores the properties of polynomial operations, and tests the evaluation and zeroes of polynomials. By engaging with these statements and their explanations, students reinforce logical reasoning, clear mathematical vocabulary, and procedural knowledge essential for algebraic problem solving. The questions provide a comprehensive revision tool and can be used for formative assessment, self-study, or classroom activities, supporting mastery of this central algebraic topic.

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Maths

TRIGONOMETRIC FUNCTIONS-Exercise 3.2

Exercise • Jan 2026

Trigonometric Functions form a crucial foundation of higher mathematics and play a vital role in physics, engineering, astronomy, and real-life proble...

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Maths

TRIGONOMETRIC FUNCTIONS-Exercise 3.1

Exercise • Jan 2026

Trigonometric Functions form a crucial foundation of higher mathematics and play a vital role in physics, engineering, astronomy, and real-life proble...

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Exercise

Polynomials-True/False

by Academia Aeternum

1. All algebraic expressions are polynomials.
2. \(x^3 + 2x^2 - x + 7\) is a cubic polynomial.
3. A monomial is a polynomial with exactly one term.
4. The degree of the polynomial \(5x^4 + 2x^2 + x + 1\) is 2.
5. The coefficient of \(x\) in \(7x - 5x^2 + 4\) is 7.
6. \(x^2 - 4x + 2\) has degree 2.
7. The polynomial 3 is a zero polynomial.
8. \(2xy + 3x\) is a polynomial in one variable.
9. Every polynomial of degree 1 is called a linear polynomial.
10. The zero of the polynomial \(x + 5\) is -5.
11. The number of zeroes of a quadratic polynomial is always two.
12. The standard form of a polynomial arranges terms in decreasing powers of the variable.
13. The remainder theorem applies only to linear divisors.
14. A binomial has two unlike terms.
15. If \((x - a)\) is a factor of polynomial \(f(x)\), then f(a) = 0.
16. The polynomial \(x^4 + x^2 + 1\) is a quadratic polynomial.
17. The value of a polynomial at a point is found by substituting the variable by that value.
18. The product of two linear polynomials is always quadratic.
19. Algebraic identity \((a + b)^2 = a^2 + 2ab + b^2\) is a polynomial equality.
20. Zero polynomial has no degree.
21. A trinomial must have degree 3.
22. Every constant polynomial is of degree zero.
23. If \(p(x) = x^2 + 1\), then \(p(0) = 1\).
24. The sum of two polynomials is always a polynomial.
25. A term like \(\frac{2}{x}\) is allowed in a polynomial.

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