Question

If x+1 is a factor of f(x) = x^2 + ax +2 then find the value of a.If x+1 is a factor of f(x) = x

2 + ax +2 then find the value of a.

Answer 1

Answer:

$f(x)=x^2+ax+2\\g(x)=x+1\\x+1=0\\x=-1\\f(-1)=(-1)^2+a(-1)+2\\(-1)^2+a(-1)+2=0\\1-a+2=0\\3-a=0\\-a=-3\\a=3$

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