What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?

In this exercise we have to use the knowledge of polynomials to calculate the value of the constant K, in this way we can say that:

k = - 14

Given that the polynomial then x = 5 is a root then we hvae:

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k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14

its A

Step-by-step explanation:

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