Fill in the blanks to make a quadratic whose roots are 5 and -5.

x^2 + ___ x + ___

BRAlNBOLT May 31, 2024

#1**+1 **

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! :)

NotThatSmart May 31, 2024