divide (27x^3 - 63x^2 - 42x - 6) / (9x + 3)
2007-03-08 22:53:36 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I get
3x² - 8x - 2
Now *you* need to get your butt in gear and figure out *how* I got that before your next math test ☺
Doug
2007-03-08 23:03:35 · answer #1 · answered by doug_donaghue 7 · 0⤊ 0⤋
= (9.x³ - 21.x² - 14.x - 2) / (3x + 1)
Now 3x + 1 = 3[ x - (- 1/3) ]
Let A = (9x³ - 21.x² - 14.x - 2) / 3.[ x - (-1/3) ]
Use synthetic division to divide by x - (-1/3):-
(- 1/3)-----9------ -21------ -14------- - 2
-------------------- - 3---------- 8--------- 2
-------------9------ -24------ -6---------- 0
A = (1/3).(9x² - 24 x - 6)
A = 3x² - 8x - 2
Check:-
(9x + 3).(3x² - 8x + 2) = 27x³ - 63x² - 42x - 6 (as required)
2007-03-09 08:22:36 · answer #2 · answered by Como 7 · 0⤊ 0⤋