Polynomials in One Variable Quiz - CBSE Class 9 Mathematics

Free practice quiz: Polynomials in One Variable (CBSE Class 9 Mathematics). 17 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which of the following is a polynomial in one variable?

   1. 3x + 5
   2. 3xy + 5
   3. 3/x + 5
   4. 3x^2 + 4y
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   Answer: A. 3x + 5

   A polynomial in one variable contains terms with only one variable. '3x + 5' has only the variable x.

2. Which term is not present in the polynomial 4x^4 - x^2 + 6?

   1. x^3
   2. x^2
   3. x
   4. 1
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   Answer: A. x^3

   The polynomial 4x^4 - x^2 + 6 does not have a term containing x^3.

3. If x^2 - 5x + k is a polynomial, what is the value of k for x = 5 to be its root?

   1. 0
   2. 5
   3. 10
   4. 25
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   Answer: D. 25

   If x = 5 is a root, then 5^2 - 5(5) + k = 0. This gives k = 25.

4. What is the sum of the coefficients of the polynomial 3x^4 - 2x^3 + x - 5?

   1. -3
   2. -2
   3. 0
   4. 3
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   Answer: A. -3

   Substitute x = 1: 3(1)^4 - 2(1)^3 + 1 - 5 = 3 - 2 + 1 - 5 = -3.

5. Identify the type of polynomial: 4x + 7.

   1. Monomial
   2. Binomial
   3. Trinomial
   4. Quadrinomial
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   Answer: B. Binomial

   A binomial is a polynomial with two terms. '4x + 7' consists of two terms, making it a binomial.

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