Multiple choice

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively. $3, 1$

  1. $x^2-4x+3$
  2. $x^2+3x+1$
  3. $x^2-3x+1$

  4. None of these
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C Correct answer
Explanation

A quadratic polynomial is given by x^2 - (sum of zeros)x + (product of zeros). Given sum = 3 and product = 1, the polynomial is x^2 - 3x + 1.

AI explanation

The required quadratic polynomial is given by the formula x^2 - (sum of zeros)x + (product of zeros). Substituting the given values 3 for the sum and 1 for the product, we get x^2 - 3x + 1.

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