91Ó°ÊÓ

List all possible rational zeros for the functions. $$f(x)=3 x^{3}+5 x^{2}-5 x+4$$

List all possible rational zeros for the functions. $$f(x)=6 x^{4}-10 x^{2}+13 x+1$$

List all possible rational zeros for the functions. $$f(x)=4 x^{5}-10 x^{4}+8 x^{3}+x^{2}-8$$

Use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. $$f(x)=6 x^{3}-7 x^{2}+1$$

Use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. $$f(x)=4 x^{3}-4 x^{2}-13 x-5$$

Use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. $$f(x)=8 x^{3}-6 x^{2}-23 x+6$$

Use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. $$f(x)=12 x^{4}+55 x^{3}+12 x^{2}-117 x+54$$

Use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. $$f(x)=16 x^{4}-24 x^{3}+x^{2}-15 x+25$$

Construct a polynomial function of least degree possible using the given information. Real roots: \(-1,1,3\) and \((2, f(2))=(2,4)\)

Construct a polynomial function of least degree possible using the given information. Real roots: \(-2, \frac{1}{2}\) (with multiplicity 2\()\) and \((-3, f(-3))=(-3,5)\)