Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___ x + ___
First, let's write this in factored form.
A quadratic whose roots are 5 and -5 can be written in the form (x-5)(x+5).
Expanding, we have (x−5)(x+5)=x2−25.
This means that the first blank, the coefficient for x, is 0.
The other blank, the constant, is -25.
We have a final answer of x2+0x+25 or just x2−25
Thanks! :)