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Set and solve a linear system find a polynomial pp of degree 4 such that p(0)=1, p(1)=1,...

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Advance Math

Set and solve a linear system find a polynomial pp of degree 4such that

p(0)=1, p(1)=1, p(2)=11, p(3)=61, and p(4)=205.

Your answer will be an expression in x.

Modifying your calculation, and without starting from scratch,find a polynomial qq of degree 4 such that q(0)=2, q(1)=3, q(2)=34,q(3)=167, and q(4)=522.

q(x) = ?

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