a. Express 3x 2 + 12x 1 in the form a(x + b) 2 + c,

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a. Express 3x2 + 12x − 1 in the form a(x + b)2 + c, where a, b and c are constants.

b. Write down the coordinates of the vertex of the curve y = 3x2 + 12x − 1.

c. Find the set of values of k for which 3x2 + 12x − 1 = kx − 4 has no real solutions.

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