Multiple choice

The sum of the roots of the following equations is $3$, and product of the roots of the equation be $2$. Which one is the equation

  1. $x^{2}-3x+2=0$
  2. $x^{2}+3x+2=0$
  3. $3x^{2}+6x+10=0$
  4. $x^{2}+3x-2=0$
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A Correct answer
Explanation

For a quadratic equation x^2 - (sum of roots)x + (product of roots) = 0. Given sum = 3, product = 2. Equation is x^2 - 3x + 2 = 0.

AI explanation

The required quadratic equation format is x squared minus the sum of the roots times x plus the product of the roots equals zero. Substituting the sum as 3 and the product as 2 gives x squared minus 3x plus 2 equals zero.