Class 10th Maths Polynomials Quiz
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Questions and Answers

What is the degree of the polynomial $3x^2 + 2x - 1$?

  • 1
  • Not defined
  • 3
  • 2 (correct)
  • Which of the following is not a polynomial?

  • $\frac{1}{x}$ (correct)
  • $4x^3 + 2x^2 - x + 5$
  • $5x^2 - 3x + 2$
  • $2x^{0.5} + 3$
  • Which of the following is a binomial?

  • $4x^2 - 3x + 1$ (correct)
  • $6x^4 - 4x^2 + 3$
  • $2x^3 - 5x^2 + x - 7$
  • $7x^6 + 2x^5 - x^3 + 9$
  • What is the sum of the degrees of the monomials in the polynomial $3x^2 + 4x - 5$?

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    Study Notes

    Degree of a Polynomial

    • The degree of a polynomial is the highest power of the variable in the expression.
    • For the polynomial (3x^2 + 2x - 1), the highest power is (2), making its degree 2.

    Identifying Non-Polynomials

    • A polynomial consists of terms with non-negative integer exponents.
    • Any expression that includes negative exponents, fractional exponents, or variables in the denominator is not a polynomial.

    Definition of a Binomial

    • A binomial is a polynomial with exactly two terms.
    • Examples of binomials include expressions like (4x + 3) or (x^2 - 5x).

    Sum of Degrees of Monomials

    • Monomials are terms in a polynomial, which can be single variables or products of variables with coefficients.
    • In the polynomial (3x^2 + 4x - 5), the monomials are (3x^2), (4x), and (-5).
    • The degrees of these monomials are (2), (1), and (0) respectively.
    • The sum of the degrees is (2 + 1 + 0 = 3).

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    Description

    Test your knowledge of polynomials with this quiz. Determine the degree of polynomials, identify different types of polynomials, and calculate the sum of degrees of monomials.

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