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Rajasthan Board Class 10 (RBSE) Polynomials — practice questions

Explore 32 free Polynomials questions in Rajasthan Board Class 10 (RBSE) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Polynomials questions and exercises with answers

Showing questions 1–30 of 32.

The degree of a polynomial is:Read the answer and worked solution →A polynomial of degree 1 is called a:Read the answer and worked solution →A polynomial of degree 2 is called a:Read the answer and worked solution →The general form of a quadratic polynomial is:Read the answer and worked solution →For $p(x) = x^2 - 3x - 4$, the value of $p(2)$ is:Read the answer and worked solution →The zeroes of a polynomial $p(x)$ are the values of $x$ for which:Read the answer and worked solution →For a quadratic $ax^2 + bx + c$, the sum of its zeroes is:Read the answer and worked solution →For a quadratic $ax^2 + bx + c$, the product of its zeroes is:Read the answer and worked solution →A quadratic polynomial can have at most how many zeroes?Read the answer and worked solution →The zeroes of the polynomial $x^2 - 3x - 4$ are:Read the answer and worked solution →Which of the following is NOT a polynomial?Read the answer and worked solution →A cubic polynomial can have at most how many zeroes?Read the answer and worked solution →A polynomial of degree 3 is called a:Read the answer and worked solution →What is the degree of the polynomial 5x³ − 2x² + 7?Read the answer and worked solution →Which of the following is NOT a polynomial?Read the answer and worked solution →What is p(−1) for p(x) = x³ − 3x + 2?Read the answer and worked solution →For what value of x is x = 2 a zero of x² − 4?Read the answer and worked solution →Identify the degree of the polynomial (2x − 3)(x + 1)(x² + 1).Read the answer and worked solution →Find the zero of p(x) = 3x − 12.Read the answer and worked solution →How many real zeroes does p(x) = x² + 4 have?Read the answer and worked solution →Find the zeroes of x² − 5x + 6.Read the answer and worked solution →How many real zeroes does p(x) = (x − 1)² have?Read the answer and worked solution →Find the zeroes of 4x² − 4x − 3.Read the answer and worked solution →For what value of k does p(x) = x² + kx + 9 have equal zeroes?Read the answer and worked solution →If α and β are zeroes of x² − 5x + 6, find α + β and αβ.Read the answer and worked solution →For 3x² + 7x − 2, find the sum and product of zeroes.Read the answer and worked solution →Construct a quadratic polynomial whose zeroes are 3 and 5.Read the answer and worked solution →One zero of x² − 7x + k is 3. Find k and the other zero.Read the answer and worked solution →If α and β are zeroes of x² + 5x + 4, find α + β + αβ.Read the answer and worked solution →Construct a quadratic whose zeroes are 2 and −7.Read the answer and worked solution →

Worked practice questions

The degree of a polynomial is:

  1. the lowest power of the variable
  2. the highest power of the variable in it
  3. the number of terms
  4. the constant term
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Correct answer: B. the highest power of the variable in it

The degree is the highest power of the variable appearing in the polynomial.

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A polynomial of degree 1 is called a:

  1. constant polynomial
  2. cubic polynomial
  3. quadratic polynomial
  4. linear polynomial
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Correct answer: D. linear polynomial

Degree 1 ⟹ linear polynomial (e.g., 2x − 3).

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A polynomial of degree 2 is called a:

  1. biquadratic polynomial
  2. cubic polynomial
  3. quadratic polynomial
  4. linear polynomial
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Correct answer: C. quadratic polynomial

Degree 2 ⟹ quadratic polynomial.

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SequencesBinomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryProbabilityCorrelation and Regression