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If f(x) = (x + 4)/(x^2 + ax + b), and f(x) has two vertical asymptotes at x = 1 and x = 2, find the sum of a and b.

 Mar 13, 2021
 #1
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If  we  have vertical asymptotes  at  x  = 1  and  x  = 2.....the denominator  must be

 

( x  -1) ( x - 2)    =  x^2  -3x  + 2

 

Therefore

 

x^2  - 3x + 2  =  x^2  + ax  + b

 

a = -3      b =  2

 

a +  b   =     -1

 

 

cool cool cool

 Mar 13, 2021

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