Part 1 of 4 Are polynomials open or closed under each operation? Classify each operation as open or closed. a. addition b. subtraction c. multiplication d. division

Divide using synthetic division. \( \left(5 x^{5}+6 x^{4}-3 x^{3}+x^{2}-x+44\right) \div(x+2) \)

\( \begin{array}{ll}1.1 .1 & x=\frac{4}{x}+3 \\ 1.1 .2 & 2 x^{2}=-x+5(\text { Are the roots real or Unreal) } \\ 1.1 .3 & x^{2}-x+6<2(x+2)\end{array} \)

(l) \( \frac{y^{2}-4 y+4}{2-6 y} \times \frac{2 y+4}{3 y^{2}-12} \)

Use the Rational Zero Theorem to list all possible rational zeros for the given function. \( f(x)=11 x^{3}-x^{2}+3 \)

\( -10 \% \) Find the domain of the function. \( g(x)=\frac{2 x}{x^{2}-36} \)