Question

# $a$ List the set of possible rational zeros of the polynomial function F$x$ = 2x3 - 11x2 + 13x - 4. $b$ Find all rational zeros of F$x$. Only do part B

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## Answer to a math question $a$ List the set of possible rational zeros of the polynomial function F$x$ = 2x3 - 11x2 + 13x - 4. $b$ Find all rational zeros of F$x$. Only do part B

Bud
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75 Answers
$0=2{x}^{3}-11{x}^{2}+13x-4$
$0-2{x}^{3}+11{x}^{2}-13x+4=0$
$-2{x}^{3}+11{x}^{2}-13x+4=0$
$-2{x}^{3}+2{x}^{2}+9{x}^{2}-13x+4=0$
$-2{x}^{3}+2{x}^{2}+9{x}^{2}-9x-4x+4=0$
$-2{x}^{2} \times \left$x-1 \right$+9{x}^{2}-9x-4x+4=0$
$-2{x}^{2} \times \left$x-1 \right$+9x \times \left$x-1 \right$-4x+4=0$
$-2{x}^{2} \times \left$x-1 \right$+9x \times \left$x-1 \right$-4\left$x-1 \right$=0$
$-\left$x-1 \right$ \times \left$2{x}^{2}-9x+4 \right$=0$
$-\left$x-1 \right$ \times \left$2{x}^{2}-x-8x+4 \right$=0$
$-\left$x-1 \right$ \times \left$x \times \left( 2x-1 \right$-8x+4 \right)=0$
$-\left$x-1 \right$ \times \left$x \times \left( 2x-1 \right$-4\left$2x-1 \right$ \right)=0$
$-\left$x-1 \right$ \times \left$2x-1 \right$ \times \left$x-4 \right$=0$
$\left$x-1 \right$ \times \left$2x-1 \right$ \times \left$x-4 \right$=0$
$\begin{array} { l }x-1=0,\\2x-1=0,\\x-4=0\end{array}$
$\begin{array} { l }x=1,\\2x-1=0,\\x-4=0\end{array}$
$\begin{array} { l }x=1,\\x=\frac{ 1 }{ 2 },\\x-4=0\end{array}$
$\begin{array} { l }x=1,\\x=\frac{ 1 }{ 2 },\\x=4\end{array}$
\begin{align*}&\begin{array} { l }x_1=\frac{ 1 }{ 2 },& x_2=1,& x_3=4\end{array} \\&\begin{array} { l }x_1=0.5,& x_2=1,& x_3=4\end{array}\end{align*}

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