One of the last things you learned to do as an Algebra 1 student was to factor quadratics.  Likely, it was the first thing you forgot once summer began.  This video will refresh that lost knowledge, showing you how to factor a quadratic with a leading coefficient of one.  As you will see, factoring is essentially FOILing backwards.  Duration: 19:57

If your quadratic equation has a leading coefficient other than one, you will want to use the ac-Method to help you factor it.  In this case, the a and the c refer to the leading coefficient and the constant respectively.  The factoring process starts when you multiply these two numbers and proceeds from there.  Duration: 17:00

What should you do when the ac-Method leads to a number that is too large to factor easily?  You could try to Guess-and-Check your factors, which is a straight-forward reversal of FOIL.  At first, this method may seem a bit time consuming; however, with practice and mastery, Guess-and-Check provides one of the most efficient methods to solve factorable quadratic equations.  Duration: 11:01

A number is prime when its only factors are 1 and itself.  However, you could factor 5, a prime number, as square root of 5 times the square root of 5.  That is essentially what the quadratic formula does; it takes a prime quadratic expression and factors it as the product of irrational linear expressions.  And it does so to the tune of Pop Goes the Weasel.  Duration: 8:49

How are you supposed to factor a quadratic with a fraction in it?  The simple solution is just to get rid of all of the fractions first by multiplying both sides of the equation by some convenient number.  Duration: 3:11

The SAT is essentially your next big standardized math test.  Well, it's actually the PSAT, but that one only counts for preparation and National Merit qualification.  Nevertheless, the math questions on the SAT increase in difficulty within each section, and some of the more challenging problems are asked in an unconventional fashion.  This video will give you some tips when tackling these questions.  Duration: 19:58 

To be clear, the AMC is an optional, not required, test math adepts take for enjoyment and challenge.  The last question on this assignment duplicates a rather beguiling AMC question.  If you complete Q84 first, then Q85 is not so tough.  Duration: 7:00