Consider the graph C in the y-plane given by the polynomial p(x), where p(x) = ax? + bx + c, and a, b and c are real numbers, with a 0. It is given that the point (-1,0) lies on C. Further- more, it is known that C has a horizontal tangent at (1, –4). Answer the following questions: a) Set up a system of three linear equations with a, b and c as unknowns. b) Based on a), set up an augmented matrix for the linear system. c) Write the augmented matrix in b) in reduced row-echelon form. Hence, solve a, b and c. Use this information to find the equation of C.

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