Maths Remainder Theorem
2007-09-11 6:39 pm
When f(x) is divided by (x-2), the remainder is 5, when f(x) is divided by (x-3), the remainder is 9. Find the remainder when f(x) is divided by (x-2)(x-3).
回答 (1)
2007-09-11 8:47 pm
✔ 最佳答案
Let f(x) = (x-2)(x-3)Q(x) + Ax + B, where Q(x) is some polynomials in xThen we have
f(2) = 2A + B = 5
f(3) = 3A + B = 9
Solving gives A = 4, B = -3
Hence remainder is 4x - 3
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