Multiple choice

Find a quadratic polynomial, the sum and product of whose zeroes are respectively : $5 \ and \ -50$

  1. $x^2-5x-50$
  2. $x^2-x-50$
  3. $x^2-x-30$
  4. $x^2-x+50$
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A Correct answer
Explanation

A quadratic polynomial with sum S and product P is given by x^2 - Sx + P. Here S=5, P=-50. So x^2 - 5x - 50.

AI explanation

A quadratic polynomial with a leading coefficient of 1 takes the form x^2 - (sum of zeroes)x + (product of zeroes). Substituting the given sum of 5 and product of -1 gives the polynomial x^2 - 5x + (-50). The result is x^2 - 5x - 50.

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