SOLUTION: The graph of a quadratic function has x-intercepts -10 and 2. Write a quadratic equation in standard form that has these roots. Thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The graph of a quadratic function has x-intercepts -10 and 2. Write a quadratic equation in standard form that has these roots. Thank you       Log On


   

Question 1130883: The graph of a quadratic function has x-intercepts -10 and 2. Write a quadratic equation in standard form that has these roots.

Thank you
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
f(x) = a*(x-(-10))*(x-2) = a*(x+10)*(x-2) = a*(x^2 +8x - 20) = ax^2 + 8ax -20a,      (*)

where a is an arbitrary real number.

It is the most general standard form of such a function.

If you want to have an equation, equate (*) to zero:

ax^2 + 8ax - 20a = 0.