Question

hi i need this ans very urgently please ans my question.
find the remainder when f(x)= 12x^3-13x^2-5x+7 is divided by (3x+2)?

Answer 1

3x+2)12x^3-13x^2-5x+7( 4x^2-7x+3
12x^3+8x^2
- -
--------------------
-21x^2-5x
-21x^2-14x
+ +
---------------------
+9x+7
9x+6
- -
------------
1
------------

Answer 2

3x+2=0

x= -2/3
put this value

12x³-13x²-5x+7

12(-2/3)³ - 13 (-2/3)² - 5 ×(-2/3)+7

12(-8/27) - 13(4/9)+10/3 +7

-32/9 -52/9+10/3+7

(-32-52+30+63) /9

(-84+93)/9

9/9 = 1
remainder is 1