Problem 2.1: What is 4x⁴ -11x³ -7x² + 11x + 3 divided by x - 3? [Solution]

Problem 2.2: What is 12x⁴ +2x³ -10x² + 5x + 5 divided by 2x - 1? [Solution]

Problem 2.3: What is -12x⁵ + x⁴ +26x³ -55x² + 38x - 6 divided by -4x + 3? [Solution]

Problem 2.4: What is 2x⁵ + x⁴ -6x³ + x² + x - 4 divided by x + 2? [Solution]

Problem 2.5: What is x⁵ -2x⁴ +5x³ -9x² + 4x - 7 divided by x² + 1? [Solution]

Problem 2.6: What is the remainder when 2x⁵ -6x⁴ -18x³ - 2x + 5 is divided by x - 5? [Solution]

Problem 2.7: Is each of the following a factor of x⁴ -3x³ -7x² + 27x - 18? a) x - 1
b) x
c) x + 2
d) x + 3
e) x - 4 [Solution]