"Find the Constant 'c'" Algebra 3 HW?

I need help with this problem for my Algebra 3 homework:
"Find the Constant "c" such that the denominator will divide evenly into the numerator." The Problem is: x^5-2x^2+x++c/x+2
Answers:
Do the long division and set the remainder to zilch

. . . . . x^4 - 2x^3 + 4x^2 - 10x + 21
. . . . . - - - - - - - - - - - - - - - - - - - - - - - - -
x + 2 ) x^5 + 0x^4 + 0x^3 - 2x^2 + 1x + c
. . . . . x^5 + 2x^4
. . . . . . - - - - - - - -
. . . . . . . . . - 2x^4 + 0x^3
. . . . . . . . . - 2x^4 - 4x^3
. . . . . . . . . - - - - - - - - - -
. . . . . . . . . . . . . . .+ 4x^3 - 2x^2
. . . . . . . . . . . . . . .+ 4x^3 + 8x^2
. . . . . . . . . . . . . . .- - - - - - - - - -
. . . . . . . . . . . . . . . . . . . . - 10x^2 + 1x
. . . . . . . . . . . . . . . . . . . . - 10x^2 - 20x
. . . . . . . . . . . . . . . . . . . . - - - - - - - - -
. . . . . . . . . . . . . . . . . . . . . . . . . . .+ 21x + c
. . . . . . . . . . . . . . . . . . . . . . . . . . .+ 21x + 42
. . . . . . . . . . . . . . . . . . . . . . . . . . .- - - - - - - -
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .c - 42

c - 42 - 0

c = 42
Obi you suck at math. haha.


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