I've been struggling to keep up with my college math course since I never finished high school math. I have a test on monday and the teacher gave us a practice test and said if we could get all the questions right we would get 100% in the real test. Unfortunately I could only do 3 of the questions. I'll list the questions I couldn't do at all. Any help at all would be greatly appreciated. I've been studying a fair bit but i can't seem to find info on how to do a lot of these harder questions. Q1.) "log64 - log128 + log32" I know that to substract those first 2 logs I'd write 64/128 but I don't know how to add the log32. Q2.) "X + 1 and X - 2 are factors of X3 + "X2 + AX + B. Find A and B and other factor." I don't know where to start with this one Q3.) "Solve 2X - 3Y =1 X2 - 2XY - 3Y2 = -3" I think this is just a simultaneous equation. I don't know how to do it but I'll figure it out by reading a tutorial Q4.) "expand (2 + square root of 3)5 answer as A + Bsquare root of 3" I'm really lost here I was out the day we did binomial expansion Q5.) "Find coefficient of X10 in expansion (2X - 3)14" ??? Q6.) "X3 - X2 - 5X over X2 - 3X + 2" I think I know how to do this one. If I'm not mistaken I just factorize the denominator then split this fraction into partial fractions. Q7.) "If roots of PX2 - 4X + 1 are equal find P" Q8.) "(K - 2)X2 + 2X - K = 0 prove roots are real" If anyone can help me figure out the method to solve any of these questions I would be extremely grateful. I have this test on monday so I have until then to figure all this out. I don't really mind failing this test because I'm going to get a math tutor to help me keep up with the class but I'm still gonna try my best to pass this test.