As someone who tutors calculus, I find that students struggle most with algebra before they even get to the calculus shortcuts. I'm looking for the most effective algebra shortcuts that can help simplify complex equations quickly.
For example, when solving quadratic equations, instead of always using the quadratic formula, sometimes factoring or completing the square can be faster depending on the coefficients. What are some algebra shortcuts you use regularly that save time on tests or in homework? I'm particularly interested in tricks for polynomial division, rational expressions, and systems of equations.
For example, when solving quadratic equations, instead of always using the quadratic formula, sometimes factoring or completing the square can be faster depending on the coefficients. What are some algebra shortcuts you use regularly that save time on tests or in homework? I'm particularly interested in tricks for polynomial division, rational expressions, and systems of equations.
