I know, it's probably an easy question for most of you people, but I really need help and if any one could explain step by step how to do this, that'd be great,
The expression x² + bx + a leaves the same remainder when divided by x + 2 or by x -a, where a ≠ -2. Show that a + b = 2
A similar question to the one above:
When 2x³ - 4x² - 5x - 2 is divided by (x - 1)(x + 2), the remainder is ax + b. The result may be expressed as the identity:
2x³ - 4x² - 5x - 2 ≡ (x - 1)(x + 2)Q(x) + ax + b , Where Q(x) is the quotient.
(a) State the degree of Q(x) Can someone please explain what do they mean by degree? (b) By substituting suitable values of x, find a and b