Question

Give all possible rational zeros for the polynomial

Answer 1

\[2x ^{3}+7x ^{2}+12x-8\]

Answer 2

use the rational root test, thus \(\bf {\color{blue}{ 2}}x^3+7x^2+12x-{\color{red}{ 8}}\\ \quad \\ \quad \\
\textit{possible roots}=\cfrac{{\color{red}{ \textit{factors of constant value}}}}{{\color{blue}{ \textit{factors of leading coefficient}}}}\)

Answer 3

\(\bf {\color{blue}{ 2}}x^3+7x^2+12x-{\color{red}{ 8}}\\ \quad \\ \quad \\
\textit{possible roots}=\pm \cfrac{{\color{red}{ \{8,4,2,1\}}}}{{\color{blue}{ \{2,1\}}}}\)