Question

Factor x^3-11x^2-4x+224 completely long division if (x-8) is a factor

Answer 1

x^3-11x^2-4x+224 = (x-8)(g(x))
g(x) = (x^3-11x^2-4x+224)/(x-8)

. . . . x^2-3x-28 = g(x)
. . . .-------------------
x-8 | x^3-11x^2-4x+224
. . . . . x^3-8x^2
. . . . . ---------
. . . . . . . . .-3x^2-4x
. . . . . . . . .-3x^2+24x
. . . . . . . . .----------
. . . . . . . . . . . . . .-28x+224
. . . . . . . . . . . . . .-28x+224
. . . . . . . . . . . . . .---------
. . . . . . . . . . . . . . . . . . . .0

x^3-11x^2-4x+224
= (x-8)(x^2-3x-28)
= (x-8)(x-7)(x+4)

Answer 2

oh my goodness..thank you so much!