Question 72237
<pre>

How do you write a quadratic equation with integer coefficients that could represent the following solution:

x = -1 and x = 3

Topic here is The sum and product of the Solutions

Find the sum of the solution.
      -1 + 3 = 2   the additive inverse for this will be the coeffient of 
                   the middle term. the additive inverse of 2 is -2

Find the product of the solution
      -1(3) = -3  the product will be the third term or the constant.

  {{{x^2 - (s[1]+s[2])x + (s[1]s[2])}}} 

  {{{x^2 - (-1+3)x + (-1)(3)}}}

  {{{x^2 - 2x -3}}}            -------> this is the quadratic equation


 
Rachel