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

 Feb 6, 2025
 #1
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Since the roots are 1 and – 1    

 

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

 

Multiply (x – 1) times (x + 1) to obtain x2 – 1    

 

Therefore, fill the blank spaces with 0 and 1    

 

x2 + (0) x + (– 1)    

.     

 Feb 6, 2025
edited by Bosco  Feb 6, 2025

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