jennasmolinsky62 jennasmolinsky62

24-11-2020
Mathematics

contestada

Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?

Respuesta :

jimrgrant1 jimrgrant1

24-11-2020

Answer:

k = 5

Step-by-step explanation:

Given that (x - h) is a factor of f(x) then f(h) = 0

Given (x - 1) is a factor of f(x), then f(1) = 0, that is

3(1)³ - 8(1) + k = 0

3 - 8 + k = 0

- 5 + k = 0 ( add 5 to both sides )

k = 5

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