If (x - 2) is a factor of the expression 2x³ + ax² + bx - 14 and when the expression is divided by (x - 3), it leaves a remainder 52, find the values of a and b.

For the polynomial x⁵ - x⁴ + x³ - 8x² + 6x + 15, the maximum number of linear factors is :

1. 9

2. 6

3. 7

4. 5

If x²⁵ + x²⁴ is divided by (x + 1), the result is :

1. 49

2. 1

3. 0

4. -1

Factors of 3x³ - 2x² - 8x are :

1. x(3x² - 2x - 8)

2. x(x - 2)(3x + 4)

3. 2x(x - 4)(2x + 1)

4. x(x - 4)(2x + 1)