Factor x2y3 + xyI can factor an "x" and a "y" out of each term: x2y3 = xy(x1y2) = xy(xy2) and xy= xy(1). x2y3 + xy = xy( ) = xy(xy2 ) = xy(xy2 + 1)Remember: When "nothing" is left after factoring, a "1" is left behind in the parentheses.
Factor 3x3 + 6x2 – 15x.I can factor a "3" and an "x" out of each term: 3x3 = 3x(x2), 6x2 = 3x(2x), and
–15x = 3x(–5). Being careful of my signs, I get:3x3 + 6x2 – 15x = 3x( )= 3x(x2 )= 3x(x2 + 2x )= 3x(x2 + 2x – 5)
