If f f 0 = 0 , where f x = x 2 + a x + b , b ≠ 0 then a + b =

If ff0=0, where fx=x2+ax+b,b≠0 then a+b=
  1. 2
  2. 1
  3. -1
  4. -2

Solution

Given:

fx=x2+ax+b

⇒f0=b

So,

ff0=fb=0

⇒b2+ab+b=0

⇒bb+a+1=0

⇒b+a+1=0

∵b≠0

⇒a+b=-1

Asked in: AP EAMCET 2022 (04 Jul Shift 2)

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