Question: 2. Find a cubic polynomial whose graph passes through these points (1, 3), (2, -2), (3, -5), (4, 0). State the system of equations you

2. Find a cubic polynomial whose graph passes through these points (1, 3), (2, -2), (3, -5), (4, 0). State the system of equations you will be solving, and then use Gauss or Gauss-Jordan elimination to find the coefficients of the polynomial. (10 marks) 3. Solve the following homogeneous system. 2x +2y +4z = W - y -32 = 2w +3x ty +z = 0 2w tax +3y -2z What is the rank of the matrix of that system

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