> You can't solve a 4-degree polynomial equation by trying out numbers On the contrary, in practice you can't solve them any other way! Spot a simple factoriza

> You can't solve a 4-degree polynomial equation by trying out numbers On the contrary, in practice you can't solve them any other way! Spot a simple factorization or guess a root is your best chance if you don't fancy working through the quartic formula [0], which will take you multiple pages just to write down the first step, and a numeric approximate solution is not acceptable. [0] https://math.stackexchange.com/a/1135224 https://math.stackexchange.com/a/1135224