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2021 AMC 10A Problem 14

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2021 AMC 10A Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Polynomials · difficulty 3 of 5 · about 5 min · position P11-15

All the roots of the polynomial z6−10z5+Az4+Bz3+Cz2+Dz+16z^6-10z^5+Az^4+Bz^3+Cz^2+Dz+16 are positive integers, possibly repeated. What is the value of BB ?

  1. A)

    −88{-}88

  2. B)

    −80{-}80

  3. C)

    −64{-}64

  4. D)

    −41{-}41

  5. E)

    −40{-}40

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