Question

when x^3-k is divided by x-3 remainder is 2 then k is ____

Answer 1

Answer:

25

Step-by-step explanation:

Given :

x^3-k is divided by x-3 remainder is 2

To find :

Value of k

Solution :

We know that, from the remainder theorem, If f(x) is the polynomial and is divided by (x - a), then the remainder is f(a).

Here, f(x) = x³ - k and a = 3

So, f(3) gives us the remainder as 2

=> f(x) = x³ - k

=> f(3) = 3³ - k

=> 2 = 27 - k

=> k = 27 - 2

=> k = 25

Hope it helps!!