Watch help video Given f(x) - 2x^3 + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then what is the value of k

Respuesta :

Answer:

The function is

The remainder when f(x) is divided by x−2 is 23

To find:

The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get  

Put x=2, to find the value of f(2)

Using (i) and (ii), we get

Therefore, the value of k is 8.

Step-by-step explanation:

hope this helps