12345
of 5

Long Division

I'm just going to finish it off:

the -5x term multiplied to ( 2x - 1 ) gives ( -10x^2 + 5x ) ... subtracting and bringing down gives -16x + 8 ... dividing 2x into -16x gives -8 ... multiplying -8 to ( 2x - 1 ) gives ( -16x + 8 ) ... subtracting gives 0!! yay!!!

So,

    ( 14x^2 - 5x^3 - 11x^2 - 11x + 8 ) / ( 2x - 1 ) = 7x^3 + x^2 - 5x - 8

Check it by multiplying (I'll wait):

( 2x - 1 ) ( 7x^3 + x^2 - 5x - 8 )

 

YOUR TURN:

( 15x^3 - 2x^2 + 10x + 12 ) / ( 3x + 2 )

* If you think this is it on these, hold on there, Skippy!  You've got two more sections to read.