+0  
 
-4
3
1
avatar+195 

Fill in the blanks to make a quadratic whose roots are 5 and -5.
x^2 + ___ x + ___

 May 31, 2024
 #1
avatar+806 
+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! :)

 May 31, 2024

1 Online Users