polynomial

2009-09-16 5:10 am
If 4x^2 - kx - 4 is divided by x-1 and 2x -1, the remainder are the same. find the value of k.

回答 (1)

2009-09-16 5:12 am
✔ 最佳答案
Let f(x) = 4x2 - kx - 4

Since when f(x) is divided by x - 1 and 2x - 1, their remainders are the same

By remainder theorem,

f(1) = f(1/2)

4(1)2 - k(1) - 4 = 4(1/2)2 - k(1/2) - 4

k/2 = 3

k = 6

參考: Physics king


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