91Ó°ÊÓ

For the following exercises, use synthetic division to determine whether the first expression is a factor of the second. If it is, indicate the factorization. $$ x+3,-4 x^{3}+5 x^{2}+8 $$

For the following exercises, find the inverse of the function and graph both the function and its inverse. $$ f(x)=\frac{1}{x^{2}}, x \geq 0 $$

For the following exercises, use synthetic division to determine whether the first expression is a factor of the second. If it is, indicate the factorization. $$ x-2,4 x^{4}-15 x^{2}-4 $$

For the following exercises, find all complex solutions (real and non-real). \(x^{3}-8 x^{2}+25 x-26=0\)

For the following exercises, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the functions. Use that information to sketch a graph. $$ s(x)=\frac{4}{(x-2)^{2}} $$

For the following exercises, use a calculator to graph the equation implied by the given variation. \(y\) varies directly with the square of \(x\) and when \(x=2\), \(y=3\).

For the following exercises, find the zeros and give the multiplicity of each. $$ f(x)=4 x^{4}\left(9 x^{4}-12 x^{3}+4 x^{2}\right) $$

For the following exercises, graph the polynomial functions. Note \(x\) -and \(y\) -intercepts, multiplicity, and end behavior. $$ f(x)=(x+3)^{2}(x-2) $$

For the following exercises, find all complex solutions (real and non-real). \(x^{3}+13 x^{2}+57 x+85=0\)

For the following exercises, use synthetic division to determine whether the first expression is a factor of the second. If it is, indicate the factorization. $$ x-\frac{1}{2}, 2 x^{4}-x^{3}+2 x-1 $$