A Boring Polynomial That's Always Composite

Explore a fascinating mathematical proof in this 10-minute video from Wrath of Math that tackles a problem from Loren C Larson's "Problems through Problem Solving." Learn how to prove that the polynomial n^4-20n^2+4 always outputs composite numbers for all integer inputs through contradiction and factoring techniques. The video breaks down the solution methodically with sections covering introductory concepts, terminology, factoring approaches, contradiction methods, and concluding insights. Perfect for mathematics enthusiasts looking to enhance their problem-solving skills in number theory and polynomial analysis.