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let-p-x-x-n-4-2x-n-n-1-prove-that-p-k-0-p-k-2-0-for-all-k-1-n-1-2-prove-that-m-N-p-m-0-and-p-m-2-are-integrs-

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Question Number 93414 by abdomathmax last updated on 13/May/20
let p(x)=((x^n (4−2x)^n )/(n!)) 1) prove that p^((k)) (0)=p^((k)) (2)=0 for all k∈[1,n−1] 2) prove that ∀m∈N p^((m)) (0) and p^((m)) (2) are integrs
letp(x)=xn(4−2x)nn!1)provethatp(k)(0)=p(k)(2)=0forallk∈[1,n−1]2)provethat∀m∈Np(m)(0)andp(m)(2)areintegrs

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