F4 Maths Remainder Theorem 4

2009-10-13 6:30 am
1. When x^3+ax^2+3x+1 is divided by x+3 with remainder 1.

2. When 3x^3-8x^2+ax-4 is divided by 3x-2 with remainder -2.

回答 (1)

2009-10-13 6:45 am
✔ 最佳答案
1. Let f(x) = x^3 + ax^2 + 3x + 1
f(-3) = -27 + 9a - 9 + 1 = 9a - 35 = 1
9a = 36
a = 4
2. Let f(x) = 3x^3 - 8x^2 + ax - 4
f(2/3) = 8/9 - 32/9 + 2a/3 - 4 = 2a/3 - 20/3 = -2
2a - 20 = -6
2a = 14
a = 7


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