Question

F(x)=3x^6+4x^3-2x^2+4find all possible zeroes

Answer 1

Given the function below

`f\mleft(x\mright)=3x^6+4x^3-2x^2+4`

For teh possible roots;

`\begin{gathered} a_0=4,\:a_n=3 \\ \mathrm{The\:dividers\:of\:}a_0:1,\:2,\:4 \\ \begin{equation*} \mathrm{The\:dividers\:of\:}a_n:1,\:3 \end{equation*} \\ \mathrm{The\:following\:rational\:numbers\:are\:candidate\:roots:}\pm(1,\:2,\:4)/(1,\:3) \end{gathered}`

From the deduction above,

The possible rational roots is

`±1,\pm(1)/(3)\pm2,\pm(2)/(3),\pm4,\pm(4)/(3).`

Hence, all the possible zeros is