Most people are stuck on that contradiction question so I thought I'd share this solution. This is how to do the contradiction question -Assume a root k. Plug it into the cubic. Factorise out the 2 to give 2 (k^3 + 3k^2) + 1. From the plus one, it will always be odd. Hence impossible for it to be 0.
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These exams are notorious for high-grade boundary (98+% for students in there to get into a worldwide known university (compared to IB's lenient 80% grade boundary), much shorter time for an exam, and the easiest question is as tricky as the hardest IB math questions), Due to the brutality of these gulag exams, students there found every way
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