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

 

x^2 + ___x + ____

 Feb 11, 2024
 #1
avatar+1622 
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(Monic) Quadratic with roots 5 and -5 can be factored as (x - 5)(x + 5) = 0. Expanding this, you get x^2 - 25 from difference of squares.

 

Thus, the first blank = 0, and the second blank = -25.

 Feb 12, 2024

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