Guest, here are some easy identities for simplifying quadratics.
First, if a quadratic is in the form a^2 - b^2, then the form of the factored equation would be (a+b)(a-b). This is called the difference of squares.
Second, if in the normal quadratic form of ax ^2 + bx + c, then one must find a number that adds up to b, and multiplies to c. If a is a coefficient of a > 1, then one must find a number that adds to b and multiplies to ac.
Hope this helps!
Not necessarily, Nickolas. Someone may answer a problem, but if they don’t figure out the steps and keep them stored in their brain, then it’s useless. That’s why it’s better to show someone the steps to a problem rather than giving them the answer, especially if the person hasn’t attempted it themselves and are just being lazy. Here we go back to the old phrase: If you give a man a fish, you’ll feed him for a day. Teach him how to fish, you’ll feed him for a lifetime.
Yes, so as a current AoPS Academy student, I can verify that this website has a TON of AoPS Academy homework questions. The sad thing is, this website is constantly being exploited because the people asking don’t CARE about how to solve the question; they just want the answer. Having taken AoPS classes from PreAlgebra through PreCalculus this year at the first AoPS Academy site, I can personally testify about how the classes are a mental and emotional test. However, that does mean that some students will cheat in order to keep up their good grades for their parents. So yeah, I don’t think that BANNING or completely ignoring these people would be the right solution, but rather giving them hints to solve the problem instead of the answer right off the bat.