**Problem : **
What is 4*x*^{4} -11*x*^{3} -7*x*^{2} + 11*x* + 3 divided by *x* - 3?

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

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

**Problem : **
What is 2*x*^{5} + *x*^{4} -6*x*^{3} + *x*^{2} + *x* - 4 divided by *x* + 2?

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

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

**Problem : **
Is each of the following a factor of *x*^{4} -3*x*^{3} -7*x*^{2} + 27*x* - 18?
a) *x* - 1

b) *x*

c) *x* + 2

d) *x* + 3

e) *x* - 4

b) No.

c) No.

d) Yes.

e) No.

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