polynomials(5m)

2010-07-29 1:13 am
Can you show me steps? 5 marks. Thank you for your help.

Let f(x)=3x^3 - 4x + k . If f(x) is divisible by x - k , find the reminder when f(x) is divided by x + k.

Answer: 2k

回答 (1)

2010-07-29 1:23 am
✔ 最佳答案
f(x) = 3x^3 - 4x + k is divisible by x - k , f(k) = 3k^3 - 4k + k = 3k^3 - 3k = 0 ......*


The reminder when f(x) is divided by x + k= f(-k) = 3(-k)^3 - 4(-k) + k= -3k^3 + 3k + 2k

= - (3k^3 - 3k) + 2k ......By *

= - 0 + 2k

= 2k


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