Respuesta :
The quotient of the equation is [tex]\rm x^2+4x+3[/tex].
Given
Divided the equation [tex]\rm (x^3-x^2-17x-15)[/tex] by [tex]\rm (x-5).[/tex]
What is the synthetic method of division?
The synthetic method involves finding zeroes of the polynomials.
The quotient of the equation is;
[tex]\rm= \dfrac{x^3-x^2-17x-15}{x-5}\\\\= \dfrac{(x-5) (x^2+4x+3)}{x-5}\\\\= x^2+4x+3[/tex]
Hence, the quotient of the equation is [tex]x^2+4x+3[/tex].
To know more about Synthetic division click the link given below.
https://brainly.com/question/26371869
