# How do you determine the value of k if the remainder is 3 given #(x^3+x^2+kx-15) div(x-2)#?

##### 1 Answer

Dec 24, 2016

Use the remainder theorem to find

#### Explanation:

Let

By the remainder theorem, the remainder when

So we have:

#3 = f(2) = 8+4+2k-15 = 2k-3#

Add

#6 = 2k#

Divide both sides by

#k = 3#