SOLUTION: I think this is the right section to put this, can I please be shown how to solve a problem like this? I have many to do and can not figure. I am in the seventh grade. Write the q

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: I think this is the right section to put this, can I please be shown how to solve a problem like this? I have many to do and can not figure. I am in the seventh grade. Write the q      Log On


   



Question 1046523: I think this is the right section to put this, can I please be shown how to solve a problem like this? I have many to do and can not figure. I am in the seventh grade.
Write the quadratic function in standard form that has two zeros where x = ‒2 and x = ‒5.

Found 4 solutions by josgarithmetic, ikleyn, MathTherapy, solver91311:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
You want some function f%28x%29=%28x-s%29%28x-r%29, and expect zeros would then be to make %28x-s%29%28x-r%29=0 a true statement. The zeros will be s and r.

That was simple and very general. You have specific values given as your expected zeros; being -2, and -5.

Answer by ikleyn(52754) About Me  (Show Source):
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.
Your quadratic function is

f(x) = (x-(-2))*(x-(-5)) = (x+2)*(x+5) = x%5E2+%2B+2x+%2B+5x+%2B+10 = x%5E2+%2B+7x+%2B+10.


Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
I think this is the right section to put this, can I please be shown how to solve a problem like this? I have many to do and can not figure. I am in the seventh grade.
Write the quadratic function in standard form that has two zeros where x = ‒2 and x = ‒5.
One of the zeroes/roots is: x = - 2, which means that x + 2 is a factor. The other zero/root is - 5, which makes the other factor, x + 5.
We then get the quadratic function: f(x) = (x + 2)(x + 5), or highlight_green%28f%28x%29+=+x%5E2+%2B+7x+%2B+10%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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is indeed a quadratic function that has the given zeros. However, it is only one of a set of quadratic functions that has these two numbers as zeros. All functions of the form



Where is any non-zero real number have the given zeros also. This is true because can be factored as



So, in fact, you were asked to do something that is impossible. You cannot write the function with the given zeros because there is more than one of them.

John

My calculator said it, I believe it, that settles it