7.2-5). Divide the following expressions. Be sure to reduce all answers to lowest terms.
y^2-5y y^3-13y^2+40y
________ divide by ________________
y^2+7y+12 y^2+10y+21

Question

7.2-5). Divide the following expressions. Be sure to reduce all answers to lowest terms. 
             y^2-5y                       y^3-13y^2+40y
            ________  divide by     ________________
        y^2+7y+12                      y^2+10y+21

amistre64 · Answer

y^2 -5y ;  y^2+10y+21
--------------------------- ; factor all to see what cancels
y^3 -13y^2 +40y ; y^2+7y+12 


    y ; y-5 ; y+7; y+3
--------------------  cancel top and bottom like stuff
y;  y-8; y-5; y+4 ; y+3 


    (y+7) 
----------
  (y-8)(y+4)