Divide this complex problem?

kittycat

(y^3-y^2-14y-3) divided by (y+3)

mary

Hi Kitty Cat. It's me again. I hope you don't mind me answering your questions.

(y^3-y^2-14y-3) divided by (y+3)

= (y^3 - y^2 - 14y - 3)/(y + 3)

The numerator cannot be factored. So all I can do is find the quotient and remainder.

By long division

.......... y^2.. - 4y..... - 2

......... ---------------------------

y + 3 ) y^3.. - y^2 - 14y - 3

.......... y^3 + 3y^2

......... -----------------------

.................. -4y^2 - 14y

.................. -4y^2 - 12y

.................. --------------------

.............................. -2y - 3

.............................. -2y - 6

.............................. ----------

...................................... 3

(y^3 - y^2 - 14y - 3)/(y + 3)

= y^2 - 4y - 2 + 3/(y + 3) .... 3 is the remainder