Question

Divide x5+15x4+54x3−25x2−75x−34 by x+8.

Answer 1

we are given

$x^5+15x^4+54x^3-25x^2-75x-34$

divide by x+8

we can use long division

so, we will get

$Quotient=x^4+7x^3-2x^2 -9x-3$

$Remainder=-10$

we can also write it as

$\frac{x^5+15x^4+54x^3-25x^2-75x-34 }{x+8}=(x^4+7x^3-2x^2 -9x-3)-\frac{10}{x+8}$..............Answer