Equation

 

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$  
x^2 + ___ x + ___    

 

If the roots are +1 and –1 then the factors are (x – 1)(x + 1)  

 

Multiplied out, the quadratic is x² – 1  

 

So, the first blank holds a 0 (zero) and  

 

the second blank holds a –1 (negtive 1)   

_.