Question

What number should be added to 3x³ − 5x² + 6x so that when resulting polynomial is divided by x – 3, the remainder is 8?

Answer 1

Let the number k be added and the resulting polynomial be f(x).

So, f(x) =  3x³− 5x² + 6x + k

It is given that when f(x) is divided by (x − 3), the remainder is 8.