Question 45542
Use synthetic division

x^2+11x+24/(x+3)  you know to start the problem with (x+3) x^2 + 11x+24 ( a division symbol is hard to replicate here) x goes into x^2 x times so put you x on top and multiply  this will give x^+3x then substract to leave an 8x then bring down the 24 then the next move is to put an 8 on top and multiply you will then have a remainder of zero

if you factor x^2 + 11x + 24 the answer to division problem appears this will allow to check your work