(2)
The polynomial x³ + ax² - 3x + 4 is divided by x-2 and the remainder is 14. What is
the value of a.
3. The polynomial f(x) = 2x³ + px²-x-2 is divided by x + 3. State the remainder in
terms of p.
(2)
4. When the polynomials x3 - 4x + 3 and x³ + x +9 are divided by x-a the remainders
are equal. Find the value of a.
(3)
5. The expression x³ + px² + qx+r gives the same remainder when divided by x + 1 or
x - 2.
(a) Show that p + q = -3
(3)
(b) If the remainder is 4 when the expression is divided by x - 1, find the value of r. (2)
(c) If the remainder is -60 when the expression is divided by x + 3, find the values of p
and q.
(2)
6. When x³ + 4x² + ax + b is divided by x - 2 the remainder is 20, and when divided by
x + 5 the remainder is 6. Find the values of a and b.
(4)