Hi Masamune. It is called Intermediate Algebra by Ignacio Bello and Fram Hopf., 3rd Edition, McGraw-Hill ISBN 978-0-07-353345-2.
Factoring Polynomial equations:
Example I understand:
-9x4y-9x3y-6x2y-6xy Problem
-3xy(3x3+3x2+2x+2) Pull out Greatest common factor
-3xy[3x2(x+1)+2(x+1)] Factored by grouping
-3xy(x+1)(3x2+2) Completely Factored
Example I don't understand:
-4x4-4x3y+2x2y+2xy2 Problem
-2x(2x3-2x2y+xy+y2) I got this far and got stuck
Concerning Zero product property, the rules are:
If AB = 0
Then A=0, B=0, or both = 0
Example:
x2+4x=0
x(x+4)=0
2 solutions------> x=0 or x+4=0
-4 -4
-----> x=-4
That one is ok as long as they don't get any more complicated, but if I can't factor it, I also can't set the equation to zero so that I can find the zero product property.
Hope I didn't confuse you too much, but thanks for asking. I'm gonna check out that link Vulcan59 kindly provided. Thanks, Vulcan!