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Karnataka SSLC (Class 10) Polynomials — practice questions

Explore 11 free Polynomials questions in Karnataka SSLC (Class 10) 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 1–11 of 11.

The degree of the polynomial $3x^2 + 2x + 1$ isRead the answer and worked solution →A real number $k$ is a zero of the polynomial $p(x)$ ifRead the answer and worked solution →The maximum number of zeroes that a quadratic polynomial can have isRead the answer and worked solution →The zero of the linear polynomial $p(x) = x - 3$ isRead the answer and worked solution →For the quadratic polynomial $ax^2+bx+c$, the sum of its zeroes isRead the answer and worked solution →For the quadratic polynomial $ax^2+bx+c$, the product of its zeroes isRead the answer and worked solution →The zeroes of the polynomial $x^2 - 5x + 6$ areRead the answer and worked solution →The sum of the zeroes of the polynomial $2x^2 - 8x + 6$ isRead the answer and worked solution →A quadratic polynomial whose zeroes are 2 and 3 isRead the answer and worked solution →The product of the zeroes of the polynomial $3x^2 - x - 6$ isRead the answer and worked solution →The number of zeroes of the polynomial whose graph meets the x-axis at exactly two points isRead the answer and worked solution →

Worked practice questions

The degree of the polynomial $3x^2 + 2x + 1$ is

  1. 2
  2. 1
  3. 3
  4. 0
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Correct answer: A. 2

1. The degree is the highest power of the variable. 2. The highest power here is $x^2$, so the degree is 2. 3. Such a polynomial is called a quadratic polynomial. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.1_

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A real number $k$ is a zero of the polynomial $p(x)$ if

  1. $p(k)=1$
  2. $p(k)=0$
  3. $p(0)=k$
  4. $k=0$
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Correct answer: B. $p(k)=0$

1. A zero of a polynomial makes its value zero. 2. So $k$ is a zero of $p(x)$ if $p(k)=0$. 3. Graphically, the zeroes are where $y=p(x)$ meets the x-axis. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.1_

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The maximum number of zeroes that a quadratic polynomial can have is

  1. 1
  2. 3
  3. 2
  4. 4
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Correct answer: C. 2

1. A polynomial of degree n has at most n zeroes. 2. A quadratic polynomial has degree 2, so it has at most **2** zeroes. 3. Its graph meets the x-axis in at most 2 points. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch9 'Polynomials', §9.2_

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