When a polynomial is divided by (x+2) the remainder is 19. When the same polynomial is divided by (x-1) the remainder is 2. Determine the remainder when the polynomial is divided by (x-1)(x+2).
It doesn't matter the degree of the polynomial, as long as it degree 3 or more it can divide by two factors. When you divide a polynomial by (x-a), the result is another polynomial with degree one less than the previous one and a possible remainder term, unless it divides evenly.
I've been thinking about this problem and I can't figure it out 100%. I am almost sure you either add them or multiply, but I can't see which one.