1. a) Let f(x) =x^2010 +6. Find the remainder when f(x) is divided by x+1.
b)(i) Using (a), or otherwis, find the remainder when 8^2010 +6 is
divided by 9.
(ii) What is the remainder when 8^2010 is divided by 9?
Thanks!!
Maths Question
2010-05-02 9:08 pm
回答 (2)
2010-05-02 9:17 pm
✔ 最佳答案
1a)the remainder=f(-1)=(-1)^2010+6=7
bi)
putting x=8, we have the remainder 7 (by a)
ii)
by bi, 8^2010+6=9Q+7, where Q is quotient
8^2010=9Q+1
so the remainder=1
2010-05-02 9:33 pm
a) Remainder = f(-1)
= (-1)^2010 + 6 = 7
b)i) Put x = 8
f(8) = 8^2010 + 6
8 + 1 = 9
therefore, remainder = 7
ii) 8^2010 + 6 = 9N + 7 where N is an integer
8^2010 = 9N + 1
therefore, remainder = 1
= (-1)^2010 + 6 = 7
b)i) Put x = 8
f(8) = 8^2010 + 6
8 + 1 = 9
therefore, remainder = 7
ii) 8^2010 + 6 = 9N + 7 where N is an integer
8^2010 = 9N + 1
therefore, remainder = 1
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