$$\left. \begin{array} { l } { 3 x ^ { 2 } - 18 x + 21 } \\ { 2 x ^ { 2 } - 14 x - 12 } \end{array} \right.$$
$\frac{3\left(\left(x-3\right)^{2}-2\right)\left(\left(2x-7\right)^{2}-73\right)}{2}$
$$3x^{2}-18x+21=3\left(x-\left(\sqrt{2}+3\right)\right)\left(x-\left(-\sqrt{2}+3\right)\right)$$ $$2x^{2}-14x-12=2\left(x-\left(-\frac{1}{2}\sqrt{73}+\frac{7}{2}\right)\right)\left(x-\left(\frac{1}{2}\sqrt{73}+\frac{7}{2}\right)\right)$$
$$6\left(x-\left(3-\sqrt{2}\right)\right)\left(x-\left(\sqrt{2}+3\right)\right)\left(x-\frac{7-\sqrt{73}}{2}\right)\left(x-\frac{\sqrt{73}+7}{2}\right)$$
$$6x^{4}-78x^{3}+258x^{2}-78x-252$$
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$3\left(x^{2}-6x+7\right),\ 2\left(x^{2}-7x-6\right)$
