"You want to factor everything before you simplify."
"If you can factor large numbers rapidly, you can break the RSA cryptosystem."
"Factoring is special in a whole bunch of ways and, you know, its specialness on the one hand is what makes it so useful for cryptography. You use the structure of factoring to do all the beautiful things that enable modern cryptography."
"When you see exponents with the same base an addition or subtraction, immediately think: what's the biggest thing I could factor out from everything?"
"If it were n's, it would factor to (n - 2)(n + 1)."
"When you have a trinomial, you're automatically going to be thinking factoring."
"Factoring came in handy when I was working with fractions like getting common denominators."
"When we start solving equations and inequalities, factoring is a huge benefit to us."
"Remember, factoring is basically un-multiplying."
"Factor out the five, times X minus one equals zero, by the zero-product principle X minus one must be equal to zero."
"Remember how to graph these: the first step is to factor the numerator and denominator as much as you can."
"If only I could find this magical factoring, then I can read off the answers."
"This is going to give you factors without you knowing how to factor it. That's awesome."
"We're going to learn about factoring and if you know how to factor, the next several videos are going to be awesome."
"Anything of the form a squared minus b squared factorizes into the form a plus b, a minus b."
"When you're approached with a rational expression, you want to factor as much as possible."
"The good news about factoring is that you always know if you're right because all you have to do is take your answer and multiply it out again and you should get what you started with."
"This quadratic will factorize really nicely as x minus 5, x minus 7 equals zero."
"The cool thing about a difference of squares is they can always be factored, always, always, always."
"With quadratic equations, the power twos are higher, you're going to be factoring."
"Anytime you have something like a squared minus b squared, this factors nicely to (a + b) times (a - b)."
"We'll factor out the Laplace transform on the left to have the Laplace transform of X."
"This quadratic factors into linear factors, a pair of linear factors, and that is sort of as far as you can go."
"The sign of the largest factor will still be the sign of your middle term."
"This factors into M plus 1 times M plus 2."
"Factor completely before you simplify and multiply."
"Remember, when factoring, you always look for the GCF first."
"Simon's favorite factoring trick gives us a nice way of combining all of them, making it easy for us."
"The roots of x squared minus three x plus two, we can factor this into x minus two times x minus one equal to zero, which means the two roots are one and two."
"X squared minus y squared is equal to x minus y times x plus y."
"Simon's favorite factoring trick... don't worry if you don't understand it now, we'll go into many more examples that will hopefully make it a lot more clear."
"We always factor completely, which means that you look at your result to see if you can continue to factor."
"So to factor, we can write it as x plus five times x plus two."
"In order to factor it, you need to find two numbers that multiply to the constant term but add to the middle coefficient."
"This is easy enough to factor; it becomes x plus 2 times x minus 1."
"If we fail at finding GCF, we're going to fail at factoring."
"When you're factoring, a lot of times it's really nice to factor out the fractions because that makes the rest of your problem inside your parentheses easier."
"Whenever we factor something, all we're doing is writing a term or an expression as an equivalent product."
"If you have something of the form a squared minus B squared, then you can factor that as the product of two conjugate pairs."
"We want to set one side of the equation equal to zero, so what we're going to look at doing is factoring to solve."
"We look for two numbers that multiply to give the \( c \) term and add to give the \( b \) term."