Chapter Exam

Chapter 2: Polynomials — Online MCQ Test

Q: What is the degree of the polynomial 7x^3 - 4x + 9?

Answer: C. 3 — The highest power of x in the polynomial is 3, so its degree is 3.

Q: Which of the following is a polynomial in one variable?

Answer: A. 3x^2 + 5x - 1 — A polynomial in one variable has only non-negative integer powers of that variable. Option A satisfies this condition.

Q: Which factor is definitely a factor of x^2 - 9?

Answer: C. x + 3 — x^2 - 9 is a difference of squares: x^2 - 9 = (x - 3)(x + 3). So x + 3 is a factor.

Q: Which of the following polynomials has zeroes 2 and -3?

Answer: A. x^2 + x - 6 — A polynomial with zeroes 2 and -3 is (x - 2)(x + 3) = x^2 + x - 6.

Q: Which expression is NOT equal to x^2 - 2x - 15?

Answer: C. (x - 1)(x - 15) — (x - 1)(x - 15) = x^2 - 16x + 15, which is different from x^2 - 2x - 15.

MATHS · CLASS 9th · Karnataka State Board

Practice Chapter 2: Polynomials with a free chapter-wise online MCQ test for Karnataka State Board CLASS 9th MATHS. This chapter covers: This chapter details polynomials in one variable zeroes of a polynomial factorisation techniques and fundamental algebraic identities.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 2: Polynomials — Important Questions & Answers (FAQ)

Frequently asked questions from Karnataka State Board CLASS 9th MATHS — Chapter 2: Polynomials, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the degree of the polynomial 7x^3 - 4x + 9?

A. 1
B. 2
C. 3 ✓
D. 9

Answer: C. 3
The highest power of x in the polynomial is 3, so its degree is 3.

Which of the following is a polynomial in one variable?

A. 3x^2 + 5x - 1 ✓
B. 2x + 1/y
C. x^(-2) + 4
D. √x + 7

Answer: A. 3x^2 + 5x - 1
A polynomial in one variable has only non-negative integer powers of that variable. Option A satisfies this condition.

Which factor is definitely a factor of x^2 - 9?

A. x + 9
B. x - 3
C. x + 3 ✓
D. x^2 + 3

Answer: C. x + 3
x^2 - 9 is a difference of squares: x^2 - 9 = (x - 3)(x + 3). So x + 3 is a factor.

Which of the following polynomials has zeroes 2 and -3?

A. x^2 + x - 6 ✓
B. x^2 - x - 6
C. x^2 + 5x + 6
D. x^2 - 5x + 6

Answer: A. x^2 + x - 6
A polynomial with zeroes 2 and -3 is (x - 2)(x + 3) = x^2 + x - 6.

Which expression is NOT equal to x^2 - 2x - 15?

A. (x - 5)(x + 3)
B. (x + 3)(x - 5)
C. (x - 1)(x - 15) ✓
D. x^2 + x - 15 - 3x

Answer: C. (x - 1)(x - 15)
(x - 1)(x - 15) = x^2 - 16x + 15, which is different from x^2 - 2x - 15.

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