Verified answer

.......x² + 3x + 14

......______________

x - 3)x³ + 0x² + 5x - 6

.......x³ - 3x²

.............3x² + 5x

.............3x² - 9x

....................14x - 6

....................14x - 42

..........................36

so, (x³ + 5x - 6)/(x - 3) = x² + 3x + 14 + 36/(x - 3)

i.e. x³ + 5x - 6 = (x - 3)(x² + 3x + 14) + 36

:)>

Hi,

I use synthetic division for this.

x - 3 = 0, so x = 3

. ___________

3)1 . 0 . 5 . -6

. ___3__9_ 42_

. 1 .3 .14 . 36

x² + 3x + 14 + 36/(x - 3) <==ANSWER

I hope that helps!! :-)

Synthetic Division as follows :-

3 I 1_____0_____5_____-6

_ I______ 3_____9_____42

_ I 1_____3_____14____36

x ² + 3x + 14 _____rem 36