Question

Use long division to solve the problem below.

x^3-6x^2+4x-5/x+2

I know how to use synthetic but I dont know how to long divide. Any explanation will be appreciated!

Answer 1

x^2 -8x + 20
------------
x+2 )x^3 - 6x^2 + 4x - 5
x^3 + 2x^2 subtract
----------
-8 x^2 + 4x
-8 x^2 - 16x subtract
------------
20x - 5
20 x + 40
-----------
-45 remainder

Answer 2

quotient is x^2 - 8x + 20 remainder - 45

Answer 3

you divide the first term of the divisor (x) into the first term of the polynomial

Answer 4

ok