# when the polynomial (x+7)^100 is divided by (x^2-x-1), the remainder is p(x). find the remainder when p(2) is divided by 11?

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- IndicaLv 72 months ago
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- Jeff AaronLv 72 months ago
p(x) = 1553585843533659965340299886975056210919252389282140661095343858733031083829700946807861328125 x + 960168855744790831999661296366738403165093386957559826440178341044884291477501392364501953125

p(2) = 1553585843533659965340299886975056210919252389282140661095343858733031083829700946807861328125*2 + 960168855744790831999661296366738403165093386957559826440178341044884291477501392364501953125

p(2) = 4067340542812110762680261070316850825003598165521841148630866058510946459136903285980224609375

When that is divided by 11, the remainder is 5.

Source(s): https://www.wolframalpha.com/input/?i=remainder+wh... https://www.wolframalpha.com/input/?i=155358584353... https://www.wolframalpha.com/input/?i=remainder+of...- Log in to reply to the answers

- lenpol7Lv 72 months ago
P(x) = x^2 - x - 1

P(2) = 2^2 - 2 - 1 = 1

P92)/11 = 1/11 = 0.90909....

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