- #1
karush
Gold Member
MHB
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$\tiny{GRE.al.06}$
For the polynomial $x^3-3x^2-6x+8\quad -2$ is the smallest root.
Find the largest root.
$a.\, -1 \quad b.\, 1 \quad c.\, 2 \quad d.\, 3 \quad e.\, 4$
Since -2 is a root then use synthetic division
$\begin{array}{r|rrrr}
-2&1&-3&-6&8\\
& & -2& 10&-8\\
\hline
&1& -5& 4&0
\end{array}$
then
$x^{2}- 5 x+4=(x-1)(x-4)=0$
so the largest factor is 4
hopefully
I doubt if it could done without some calculation maybe
For the polynomial $x^3-3x^2-6x+8\quad -2$ is the smallest root.
Find the largest root.
$a.\, -1 \quad b.\, 1 \quad c.\, 2 \quad d.\, 3 \quad e.\, 4$
Since -2 is a root then use synthetic division
$\begin{array}{r|rrrr}
-2&1&-3&-6&8\\
& & -2& 10&-8\\
\hline
&1& -5& 4&0
\end{array}$
then
$x^{2}- 5 x+4=(x-1)(x-4)=0$
so the largest factor is 4
hopefully
I doubt if it could done without some calculation maybe
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