+153 Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___ x + ___
+1365 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 \((x-5)(x+5) = x^2-25\).
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 \(x^2+0x+25 \) or just \(x^2-25\)
Thanks! :)
