Write a quadratic equation having the given solutions. 4, -8

Question

Write a quadratic equation having the given solutions. 4, -8

Answer 1

Hi,

 

Having a "solution" means that the selected x makes y zero.

 

So, for x = 4 and x =-8, the y value must be zero.  (plug x into these):

      (x - 4)*(x + 8) = 0         [this is quadratic equation in factored form]

       x² +4x -32 = 0            [this is also quadratic equation]

 

Best wishes.