What must be subtracted from the polynomial x³ + x² - 2x + 1, so that the result is exactly divisible by (x - 3)?

1. –31

2. –30

3. 30

4. 31

The roots of the quadratic equation px² - qx + r = 0 are real and equal if :

(a) p² = 4qr

(b) q² = 4pr

(c) –q² = 4pr

(d) p² > 4qr

The median of the following observations arranged in ascending order is 64. Find the value of x :

27, 31, 46, 52, x, x + 4, 71, 79, 85, 90

1. 60

2. 61

3. 62

4. 66

Points A(x, y), B(3, -2) and C(4, -5) are collinear. The value of y in terms of x is ∶

1. 3x - 11

2. 11 - 3x

3. 3x - 7

4. 7 - 3x