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Consider the function P(x)=2x4+px3+qx2+rx+4, where p,q,r∈R are constants. Given that x2−2x+1 and x+1 are factors of P(x), find the values of p,q and r.
Consider the function P(x)=2x4+px3+qx2+rx+4, where p,q,r∈R are constants. Given that x2−2x+1 and x+1 are factors of P(x), find the values of p,q and r.