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.(adsbygoogle = window.adsbygoogle || []).push({});

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 X^{3}+ "X^{2}+ AX + B. Find A and B and other factor."

I don't know where to start with this one

Q3.) "Solve 2X - 3Y =1 X^{2}- 2XY - 3Y^{2}= -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 X^{10}in expansion (2X - 3)^{14}"

???

Q6.) "X^{3}- X^{2}- 5X over X^{2}- 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 PX^{2}- 4X + 1 are equal find P"

Q8.) "(K - 2)X^{2}+ 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.

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# Badly need help

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