Polynomials Quiz - CBSE Class 8 Mathematics

Free practice quiz: Polynomials (CBSE Class 8 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 4x^3 - 3x^2 + 2x - 5?

   1. 3
   2. 2
   3. 1
   4. 0
   Show answer

   Answer: A. 3

   The degree of a polynomial is the highest power of the variable in the expression. Here, the highest power is 3 from the term 4x^3.

2. What is the sum of the polynomials (2x^2 + 3x + 4) and (3x^2 - 2x + 1)?

   1. 5x^2 + x + 5
   2. 5x^2 + x + 4
   3. x^2 + x + 4
   4. x + 1
   Show answer

   Answer: A. 5x^2 + x + 5

   To sum the polynomials, we combine like terms: (2x^2 + 3x + 4) + (3x^2 - 2x + 1) = (2 + 3)x^2 + (3 - 2)x + (4 + 1) = 5x^2 + x + 5.

3. What is the value of the polynomial 5x^2 - 3x + 2 when x = 2?

   1. 10
   2. 8
   3. 14
   4. 12
   Show answer

   Answer: C. 14

   Substituting x = 2 gives us 5(2^2) - 3(2) + 2 = 5(4) - 6 + 2 = 20 - 6 + 2 = 14.

4. If p(x) = 2x^3 + 3x^2 - x + 4, what is p(1)?

   1. 8
   2. 7
   3. 5
   4. 6
   Show answer

   Answer: A. 8

   Substituting x = 1 into p(x): p(1) = 2(1)^3 + 3(1)^2 - (1) + 4 = 2 + 3 - 1 + 4 = 8.

5. The polynomial g(x) = x^2 + mx + n is known to be positive for all x. What can you conclude about m and n?

   1. m < 0 and n > 0
   2. m = 0 and n > 0
   3. m^2 - 4n < 0
   4. m^2 - 4n = 0
   Show answer

   Answer: C. m^2 - 4n < 0

   For the quadratic to be positive for all x, the discriminant must be less than 0, which leads to the inequality m^2 - 4n < 0.

More quizzes

• Linear Equations

Browse all Algebra quizzes