1.how do you divide x^4-9x^3+25x^2-8x-2 by x^2-2?
2. Find the value of a for which (1-2a)x^2+5ax+(a-1)(a-8) is divisible by (x-2) but not by (x-1)
3.i. Prove that the expression x^3+(k-1)x^2+(K-9)x-7 is divisible by x+1 for all values of k
ii. Find the value of k for which the expression has a remainder of 12 when divided by x-2
4. The expression 4x^3 +ax^2 -5x +b leaves remainder of -8 and 10 when divided by (2x-3) and (x-3) repectively. Calculate the values of a and b