Question 223995
Write a quadratic function having the given solutions: -5,3.


Step 1.  With these solutions then x=-5 and x=3 or x+5=0 and x-3=0. 


Step 2.  Multiply x+5 and x-3 to get the quadratic equation using the FOIL method.


{{{0=(x+5)(x-3)=x^2-3x+5x-15=x^2+2x-15}}}


Step 3.  ANSWER:  With {{{x=-5}}} and {{{x=3}}}, the corresponding quadratic equation is {{{x^2+2x-15=0}}}


We can check with the following:


*[invoke quadratic "x", 1, 2, -15  ]

I hope the above steps and explanation were helpful. 


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Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.


Respectfully, 
Dr J


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