Question

Factorise 12x²​-7​√2+2 without using the unitary method

Answer 1

$$\begin{gathered} 12{\mathrm{x}}^2-7\sqrt{2}\mathrm{x}+2 \\ =12{\mathrm{x}}^2-4\sqrt{2}\mathrm{x}-3\sqrt{2}\mathrm{x}+2 \\ =4\mathrm{x}\left(3\mathrm{x}-\sqrt{2}\right)-\sqrt{2}\left(3\mathrm{x}-\sqrt{2}\right) \\ =\left(4\mathrm{x}-\sqrt{2}\right)\left(3\mathrm{x}-\sqrt{2}\right) \end{gathered}$$