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Let n be a positive integer and define f...

Let n be a positive integer and define f(n)=1!+2!+3!+…+n!. Find polynomials P(x) and Q(x) such that f(n+2)=Q(n)f(n)+P(n)f(n+1) for all `n ge 1`.

A

`p(x)=x+3`

B

`Q(x)=-x-2`

C

`P(x)=-x-2`

D

`Q(x)=x+3`

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A, B
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