Chapter 2: Polynomials — Online MCQ Test
MATHS · CLASS 9th · Karnataka State Board
Practice Chapter 2: Polynomials with a free chapter-wise online MCQ test.
This chapter covers: This chapter details polynomials in one variable zeroes of a polynomial factorisation techniques and fundamental algebraic identities..
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Chapter 2: Polynomials — Important Questions & Answers
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.
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.
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.
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.
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.
(x - 1)(x - 15) = x^2 - 16x + 15, which is different from x^2 - 2x - 15.