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Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?

User Oswin
by
8.0k points

1 Answer

3 votes

Answer:

k = 1

Explanation:

Given that,


f(x) = x^3 +kx + 2

If (x+1) is a factor of (x), we need to find the value of k.

Using remainder theorem to find it.

Put (x+1) = 0

x = -1

Put x = -1 in equation below.


x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1

So, the value of k is 1.

User VisualBean
by
8.7k points

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