CPM Homework Help : PC3 Problem 3-54

Show by division that $\large \frac { x ^ { 2 } + 6 x + 9 } { x - 2 }$ equals $x + 8 + \frac { 25 } { x - 2 }$ .

Step 1:

Generic rectangle, 2 rows by 3 columns, left edge labeled, x minus 2, interior top left, labeled, x squared. Below rectangle, expression label, x squared, + 6 x, + 9.

Step 2:

Labels added: Interior bottom left, minus 2, x.

Step 3:

Labels added: Interior top middle, 8 x, with arrow from, 8 x, through, negative 2 x, pointing at, 6, x, in expression below.

Step 4:

Labels added: top edge middle, 8, interior bottom middle, negative 16.

Step 5:

Labels added: interior top right, 25, with arrow from, 25, through, negative 16, pointing at, 9, in expression below.