luczac11 luczac11

08-04-2022
Mathematics

contestada

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

Respuesta :

darko72 darko72

08-04-2022

Answer:

put x=-1, and the rest will be easy

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LammettHash LammettHash

08-04-2022

If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives

f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0

Solve for k; you end up with k = -3.

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