Koh asked in Science & MathematicsMathematics · 2 months ago

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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  • Indica
    Lv 7
    2 months ago

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  • 2 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.

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  • 2 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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