Question

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

Answer 1

Answer:

The value of k is 1

Step-by-step explanation:

If x-1 is a factor, if we equate x - 1 to 0 and substitute the value of x

Then, we should have 0 as the f(x) value

so;

x-1= 0

x = 1

Substitute this

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

0 = 1 + k-2

0 = k-1

k = 1