Question

Another SAT concept =(

Answer 1

so you want to factor every expression as much as possible, then cancel things out

Answer 2

so you start by drawing arrows/lines like the red and blue ones above

Answer 3

on the "tails" of the arrows, pick two factors of the first coefficient (the coefficient of the square term)

Answer 4

on the "tips" pick two factors of the constant term

Answer 5

then multiply in the direction indicated by the arrows and then add the two products

Answer 6

the final result needs to add up to the middle coefficient

Answer 7

when you first learn this method you will have to use trial and error, but the more you practice, the better you will be at picking numbers/ and picking where to put them

Answer 8

so for 4k^2 - 12k + 9 = (2k-3)^2

I picked 2 and 2 to be the tails of the arrows, and then -3 and -3 as the tips of the arrows