Polynomials Problems

1.
x^3 - 6x^2 + 11x - 6 = (x^2 + kx + 3)Q(x)
consider the coefficient of x^3:
the Q(x) should be (x + c) where c is a constant
consider the constant term:
-6 = 3(c) => c = -2
x^3 - 6x^2 + 11x - 6 = (x^2 + kx + 3)(x - 2)
comparing the coefficient of x:
11 = k(-2) + 3
k = -4

2.
let y = x - 1 => f(x-1) = f(y)
x - 3 = y - 2
the remainder is f(2) when f(y) is divided by (y-2)

我個人推薦你去搵ComingZOO
網址http://www.comingzoo.com/
或可加佢客服msn [email protected]直接查詢　我自己都去開, 希望可以幫到你~ ^T^ 比我20分!...

2 第二題資料不足。