SOLUTION: first equation: divide by using long division: (5x+(6x^3)-8)/(x-2) second: divide by using synthetic division: ((x^2)-9x+10)/(x-2)

Question 616828: first equation: divide by using long division: (5x+(6x^3)-8)/(x-2)
second: divide by using synthetic division: ((x^2)-9x+10)/(x-2)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
first equation: divide by using long division: (5x+(6x^3)-8)/(x-2)
second: divide by using synthetic division: ((x^2)-9x+10)/(x-2)
**
By long division:
.........................6x^2.+..12x...+24
...x-2|..6x^3........0..........0.......-8
............6x^3..-12x^2
........................12x^2......0
........................12x^2...-24x....-8
......................................24x....-48.
................................................. 40
quotient: 6x^2+12x+24
remainder: 40
..
By synthetic division:
...2...|....6......0......0.......-8...........
....................12....24......48..........
.............6.....12....24......40............
quotient: 6x^2+12x+24
remainder: 40
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