+0  
 
+3
113
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Find the product of all constants \(t\) such that the quadratic \(x^2 + tx - 9\) can be factored in the form \((x+a)(x+b)\), where a and b are integers.

 Jul 13, 2020
 #1
avatar+28021 
+1

a+b has to equal t

a*b  has to equal - 9   

 

-9 1

9 -1

3 -3

-3 3       two of these are repeats      so    9 , -1   and  3,  -3      these add together  to make t =  8  or 0     summed = 8

 Jul 13, 2020

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