2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Polynomials

10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The quadratic polynomial, whose zeroes are \[3+\sqrt{2}\]and \[3-\sqrt{2}\], is

    A) \[{{x}^{2}}-3x+5\]

    B) \[{{x}^{2}}-6x+7\]

    C) \[{{x}^{2}}-7x+6\]

    D) \[{{x}^{2}}-8x+12\]

    Correct Answer: B

    Solution :

    Sum of zeroes \[=3+\sqrt{2}+3-\sqrt{2}=6\]
     Product of zeroes \[=\left( 3+\sqrt{2} \right)\left( 3-\sqrt{2} \right)\]
     = 9 - 2 = 7 The quadratic polynomial is
    \[={{x}^{2}}\] - (sum of zeroes) x + product of zeroes
    \[={{x}^{2}}-6x+7\]
     


You need to login to perform this action.
You will be redirected in 3 sec spinner