CPM Homework Help : INT2 Problem 2-55

Copy each of the area models below and fill in the missing dimensions and areas. Then write the area as a product equivalent to the area as a sum.

generic rectangle left edge top $+5$

interior top edge right is blank

interior top right $15$

left edge bottom is blank

interior bottom left $x^2$

interior bottom right is blank

bottom edge left $x$

bottom edge right is blank

Answer (a):

$x^² + 8x + 15 = (x + 3)(x + 5)$

generic rectangle left edge top is blank

interior top left $10x$

interior top right is blank

left edge bottom $x$

interior bottom left $2x^2$

interior bottom right is blank

bottom edge left is blank

bottom edge right $+3$

Answer (b):

$2x^² + 13x + 15 = (2x + 3)(x + 5)$