If the polynomial kx^3 – 15x^2 + 27x – 5k is divisible by x – 2, the value of k is?

Question

If the polynomial kx^3 – 15x^2 + 27x – 5k is divisible by x – 2, the value of k is

A) 3
B) 2
C) -3
D) -2

Answer 1

If a polynomial is divisible by x - 2, 2 is one of its roots:

Plug x=2

2^3 k - 15*2^2 + 27 * 2 - 5k = 0

8k - 60 + 54 - 5k = 0

3k - 6 = 0

k=2

Choose B.

Answer 2

since polynomial is divisible by x-2, therefore it is a factor of the polynomial.

x-2=0
x=2

replace x=2 into polynomial..

u'll get 8k - 60 + 54 - 5k=0
3k=6
k=2

Answer 3

This is clearly another way of asking, "What is 1+1?"
The answer? 2.

Answer 4

its 2, so B. I'm a math major.