Multiple choice

The sum and product of zeros of the quadratic polynomial are - 5 and 3 respectively the quadratic polynomial is equal to

  1. $x^2+2x+3$
  2. $x^2-5x+3$
  3. $x^2+5x+3$
  4. $x^2+3x-5$
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C Correct answer
Explanation

For a quadratic polynomial with zeros alpha and beta, the polynomial is x^2 - (sum of zeros)x + (product of zeros). Given sum = -5 and product = 3, the polynomial is x^2 - (-5)x + 3, which simplifies to x^2 + 5x + 3.

AI explanation

Using the standard polynomial formation formula based on sum and product of zeros, k(x^2 - (sum)x + product), we substitute the given values. This gives the polynomial x^2 - (-5)x + 3, which simplifies to x^2 + 5x + 3.

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