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Problems

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

4x3 + x2 - 4x - 1.

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

6x3 +4x2 - 3x + 1, remainder 6.

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

3x4 +2x3 -5x2 + 10x - 2.

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

2x4 -3x3 + x - 1, remainder -2.

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

x3 -2x2 + 4x - 7.

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

P(5) = 245.

Problem : 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

a) Yes.
b) No.
c) No.
d) Yes.
e) No.