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$y = x ^ { 3 } - 2 x ^ { 2 } + 4$

$y = 0$

$x$-intercept

$\left ( - \dfrac { \sqrt[ 3 ]{ 6 \sqrt{ 57 } + 46 } } { 3 } - \dfrac { 4 } { 3 \left ( 6 \sqrt{ 57 } + 46 \right ) ^ { \frac { 1 } { 3 } } } + \dfrac { 2 } { 3 } , 0 \right )$

$y$-intercept

$\left ( 0 , 4 \right )$

Derivative

$3 x ^ { 2 } - 4 x$

Seconde derivative

$6 x - 4$

Local Minimum

$\left ( \dfrac { 4 } { 3 } , \dfrac { 76 } { 27 } \right )$

Local Maximum

$\left ( 0 , 4 \right )$

Point of inflection

$\left ( \dfrac { 2 } { 3 } , \dfrac { 92 } { 27 } \right )$

$x ^{ 3 } -2x ^{ 2 } +4 = 0$

$ $ 그래프 보기 $ $

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Solution search results

search-thumbnail-$x^{3}-ex^{2+11x-4}=0$ $x^{3}-2x^{2}+4x-8=0$

10th-13th grade

Other

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search-thumbnail-Activity $3$ Rational Root Theorem
$Dimctioms$ List all the possible zeros of cach polynomial. $\left(2$ points each)
$-10x^{2}+32x-32=0$
$1$ $x^{3}-10x$
$2$ $x^{3}-6x^{2}+11x-6=0$
$3$ $x^{3}-2x^{2}+4x-8=0$ $3x^{3}-19x^{2}+33x-9=0$
$4$
$5$ $x^{4}-19x^{2}+4=0$

10th-13th grade

Other

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