Can someone show me how to solve this problem by using long division?
What is the quotient: (6x^4 – 15x^3 – 2x^2 – 10x – 4) ÷ (3x^2 + 2)

Question

Can someone show me how to solve this problem by using long division?
What is the quotient: (6x^4 – 15x^3 – 2x^2 – 10x – 4) ÷ (3x^2 + 2)

dumbcow · Answer

2x^2 -5x -2
                  _____________________________
3x^2 +2  |  6x^4 -15x^3-2x^2-10x -4
                 -(6x^4 +0     +4x^2)
                  ------------------
                           -15x^3-6x^2 -10x -4
                        -( -15x^3 + 0   -10x)
                         ---------------------
                                       -6x^2 +0x -4
                                     -(-6x^2 +0x -4)
                                     --------------
                                                        0

this means there is no remainder
quotient = 2x^2-5x-2

dumbcow · Answer

were you able to follow my work...remember you have to subtract each line so it involves a lot of sign changes (be careful)