# Given that #f(x)=x^3+4x^2+bx+c#. When *f* is divided by #(x-3)#, the remainder is 110. In addition, when *f* is divided by #(x+2)#, the remainder is 150. The sum of #b+c=?#

##### 1 Answer

Oct 1, 2017

Given that *f* is divided by

So we have

In addition, when *f* is divided by

This means

Subtracting [2] from [1] we get

Inserting

So the sum of