Algebra II: Polynomials

Problem : What is 4x ⁴ -11x ³ -7x ² + 11x + 3 divided by x - 3 ?

Problem : What is 12x ⁴ +2x ³ -10x ² + 5x + 5 divided by 2x - 1 ?

Problem : What is -12x ⁵ + x ⁴ +26x ³ -55x ² + 38x - 6 divided by -4x + 3 ?

Problem : What is 2x ⁵ + x ⁴ -6x ³ + x ² + x - 4 divided by x + 2 ?

Problem : What is x ⁵ -2x ⁴ +5x ³ -9x ² + 4x - 7 divided by x ² + 1 ?

Problem : What is the remainder when 2x ⁵ -6x ⁴ -18x ³ - 2x + 5 is divided by x - 5 ?

Problem : Is each of the following a factor of x ⁴ -3x ³ -7x ² + 27x - 18 ? a) x - 1
b) x
c) x + 2
d) x + 3
e) x - 4