Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?
x squared + 4 x + 3
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
x cubed + 4 x squared + 3 x
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

Question

jhonyy9 · Answer

@surjithayer wrote:

x-5) x^3- x^2-17x-15(x^2+4x+3 x^3-5x^2 - + 4x^2-17 x 4x^2-20x - + 3x-15 3x-15 - + 0

sorry but I dont think that is understandably posted in this way here ,please repost it in an attached image - for example thank you in advance

surjithayer · Answer

Earlier i have solved by long division.
Now i will solve by synthetic division.
x-5=0
x=5
5|1   -1    -17     -15
  |       5     20    +15
 ____________________
  |1     4      3  | 0
___________________
quotient is $$x^2+4x+3$$