maths (3)

2007-04-06 6:28 am
1. Known f (x) = x4 – x3 + x2 + 3x – 4.
(a) Find the remainder of f (x) divide by x + 2.
(b) Find the value of x when f (x) = 0.

回答 (1)

2007-04-06 6:40 am
✔ 最佳答案
1a) By remainder theory,
f(-2)= (-2)^4 - (-2)^3 +(-2)^2 +3(-2) -4
= 18
so the remainder is 18

1b) x^4 – x^3 + x^2 + 3x – 4 =0
(x-1)(x^3 + x + 4) = 0
(x-1) = 0 or (x^3 + x + 4) = 0
x= 1 or no solution
so x = 1


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