When x^3-2x^2+kx-10x

3
−2x
2
+kx−10 is divided by \left(x-3\right)(x−3), the remainder is 1717. Find kk and the remainder when the polynomial is divided by \left(x+1\right)(x+1).

1 answer

all that annoying repetition and bogus text formatting ...
By the remainder theorem, f(3) = 17
so, 27-18+3k-10 = 17
k = 6
so, with f(x) = x^3 - 2x^2 +6x-10
the remainder when divided by (x+1) is
f(-1) = ___