How do I factor using the zero factor property?
February 20th, 2023
The states that if ##ab=0##, then either ##a=0## or ##b=0##.
Example: find the roots of ##x^2-x-6##.
##x^2-x-6=0##
##(x-3)(x+2)=0##
Now, the zero factor property can be applied, since two thing are being multiplied and equal zero.
We know that either
##x-3=0color(white)(ssss)## or ##color(white)(ssss)x+2=0##
Solve both to find that ##x=3## or ##x=-2##.
