Question

state the possible rational zeros for each function. The find all zeros. Use the example in the picture f(x)=3x^3-7x^2-7x+3

Answer 1

`\begin{gathered} f(x)=3x^3-7x^2-7x+3 \\ cons\tan t\text{ term}=3=p \\ List\text{ of all its factors }+-1,\text{ +-3} \\ LEADING\text{ COE}FFICIENTE\text{ = 3 = }q \\ List\text{ of all its factors }+-1,\text{ +-3} \\ List\text{ of all possible zeros (}(p)/(q)\text{)} \\ List\text{ of all possible zeros (}(p)/(q)\text{)=}(1)/(3),(1)/(1),(3)/(1),(3)/(3) \\ List\text{ of all possible zeros (}(p)/(q)\text{)=}(1)/(3),1,3 \\ \text{The }List\text{ of all possible zeros are }\pm(1)/(3),1\pm,\pm3 \end{gathered}`