we are given
[tex] x^5+15x^4+54x^3-25x^2-75x-34 [/tex]
divide by x+8
we can use long division
so, we will get
[tex] Quotient=x^4+7x^3-2x^2 -9x-3 [/tex]
[tex] Remainder=-10 [/tex]
we can also write it as
[tex] \frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8} [/tex]..............Answer
