Let g(x) = ax* + bx' + cx + dx + 1 be a polynomium whose graph intersects the points (-2, 4), ( – 1, 0), (1,-2), (3, 6). Additionally let p(x) = a,x* + b,x' + c,x² + d,x + e,, x ER whose graph also intersects the points. The tangents of the polynomials graphs are orthogonal in the coordinate (1,-2). (a) Determine the coefficients of p(x).

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