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

 Jul 23, 2024
 #1
avatar+1786 
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If there are the two roots, we have that (x+1)(x-1). 

 

This, distributing in, we have

\((x + 1) ( x -1) = x^2 + 0x - 1 \)

 

Thus, the answer is x^2 - 1. 

 

Thanks! :)

 Jul 23, 2024
edited by NotThatSmart  Jul 23, 2024

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