Polynomials Quiz - CBSE Class 7 Mathematics

Free practice quiz: Polynomials (CBSE Class 7 Mathematics). 13 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is a polynomial?

   1. An algebraic expression with no variables
   2. An algebraic expression with variables raised to whole number powers
   3. A product of two binomials
   4. A number with no decimals
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   Answer: B. An algebraic expression with variables raised to whole number powers

   A polynomial is defined as an algebraic expression that has variables raised only to whole number powers.

2. What is the degree of the polynomial 4x^3 + 3x + 7?

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

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

3. Which of the following is the factored form of x^2 - 5x + 6?

   1. (x - 2)(x - 3)
   2. (x + 2)(x + 3)
   3. (x - 1)(x - 6)
   4. (x - 6)(x + 1)
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   Answer: A. (x - 2)(x - 3)

   To factor x^2 - 5x + 6, we look for two numbers that multiply to 6 and add to -5. These are -2 and -3.

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

   1. -12
   2. 0
   3. 6
   4. 12
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   Answer: B. 0

   Substituting -3 into the polynomial p(-3) = (-3)^3 + 3(-3)^2 - (-3) - 3 = -27 + 27 + 3 - 3 = 0.

5. Which polynomial is a factor of x^3 - 3x^2 - 4x + 12?

   1. x - 2
   2. x - 3
   3. x + 2
   4. x + 3
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   Answer: B. x - 3

   Using synthetic division, we can confirm that x - 3 is indeed a factor of the polynomial x^3 - 3x^2 - 4x + 12.

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