$$3 x ^ { 4 } - 2 x ^ { 5 } + x ^ { 6 } - 11$$
$2\left(3x^{2}-5x+6\right)x^{3}$
$$4\times 3x^{4-1}+5\left(-2\right)x^{5-1}+6x^{6-1}$$
$$12x^{4-1}+5\left(-2\right)x^{5-1}+6x^{6-1}$$
$$12x^{3}+5\left(-2\right)x^{5-1}+6x^{6-1}$$
$$12x^{3}-10x^{5-1}+6x^{6-1}$$
$$12x^{3}-10x^{4}+6x^{6-1}$$
$$12x^{3}-10x^{4}+6x^{5}$$
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$x^{6}-2x^{5}+3x^{4}-11$