Polynomials Quiz - CBSE Class 10 Mathematics

Free practice quiz: Polynomials (CBSE Class 10 Mathematics). 15 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the degree of the polynomial 3x^2 + 5x + 6?

   1. 0
   2. 1
   3. 2
   4. 5
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   Answer: C. 2

   The degree of a polynomial is the highest power of the variable in the polynomial. Here, the highest power of x is 2.

2. Determine the number of zeroes in the polynomial x^2 - 4.

   1. 0
   2. 1
   3. 2
   4. 3
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   Answer: C. 2

   A polynomial of degree n has at most n zeroes. The given polynomial is of degree 2, so it can have at most 2 zeroes. Solving x^2 - 4 = 0 gives two solutions: x = 2 and x = -2.

3. If a polynomial f(x) is divided by x - a, and the remainder is 0, what can we conclude?

   1. x = a is a root of f(x)
   2. x = a is not a root of f(x)
   3. f(a) is not zero
   4. x = a is an imaginary number
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   Answer: A. x = a is a root of f(x)

   If the remainder is 0 when f(x) is divided by x - a, then x = a is a root of the polynomial, which means f(a) = 0.

4. Which of the following is a polynomial identity?

   1. (x + 1)^2 = x^2 + 2x + 1
   2. x - 1 = x + 1
   3. x^3 = x + x^2
   4. x^2 - 4 = (x - 2)(x + 2)
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   Answer: A. (x + 1)^2 = x^2 + 2x + 1

   A polynomial identity is an equation that holds true for all values of the variable. The equality (x + 1)^2 = x^2 + 2x + 1 is true for any value of x.

5. If p(x) = x^3 - 2x^2 + x - 2, find p(2).

   1. 0
   2. 2
   3. 4
   4. 6
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   Answer: A. 0

   Substituting x = 2 in p(x), we get p(2) = 2^3 - 2*2^2 + 2 - 2 = 0, verifying x = 2 is a root.

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