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Consider the function g(x)=x4+2x3+px2+qx−4, where p,q∈R are constants. When g(x) is divided by (x−1), the remainder is −12, and when divided by (x+3) the remainder is 20. Find the values of p and q.
Consider the function g(x)=x4+2x3+px2+qx−4, where p,q∈R are constants. When g(x) is divided by (x−1), the remainder is −12, and when divided by (x+3) the remainder is 20. Find the values of p and q.