1a) Find the discriminant value of 2x² + 4x + 3 (1 mark)

1b) Find the discriminant value of 4x² + x + 5 (1 mark)

2a) Determine how many roots the quadratic equation, 3x² – x + 2 = 0 have (2 marks)

2b) Determine how many roots the quadratic equation, 4x² + 2x + 3 = 0 have (2 marks)

2c) Determine how many roots the quadratic equation -2x² – 5x + 9 = 0 have (2 marks)

3a) The equation px² + 2x – 3 = 0, where p is a constant, has equal roots. Find the value of p (3 marks)

3b) The equation x² +kx + 9 = 0, where k is a constant, has equal roots. Find the value of k (3 marks)

3c) The equation x² + 4x + n = 0, where n is a constant, has two distinct real roots. Find the value of n (3 marks)

4a) The following equation has no real solutions, 2x² + kx + 6 = k. Show using the discriminant that k² + 8k – 48 < 0 (3 marks)

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