I have a math test coming up and I have last years test in front of me for a study guide. I can do most of the questions on this test and I know the theory behind everything on it but heres a couple of questions that I cant seem to get right. Q1) If (x + 1) and (x - 2) are factors of x3 + 2x2 + ax + b find the values of a,b E(that greek symbol that looks like a rounded E) R, and find remaining factor. I assumed that to find a and b I would have to plug each root -1 and 2 into the equation so I have 2 simultaneous equations but it didn't work out for some reason. Heres what I did (-1)3 + 2(-1)2 + a(-1) + b = 0 =>a - b = 1 did the same with the other root and got 2a + b = 16 by elimination I got A=17/3 and B=5 but these don't seem to plug into the equation. Am I going about this question the right way? Also it asks me to find the last factor. I know I can do that by dividing the factors I have into the equation but is that the quickest method to obtaining the final factor when you already have 2?