$w\left(\sqrt{2}\right)-4w\left(1\right)=\left(\sqrt{2}\cdot {\left(\sqrt{2}\right)}^4+a\cdot {\left(\sqrt{2}\right)}^2+1-\sqrt{2}\right)-4\left(\sqrt{2}\cdot 1^4+a\cdot 1^2+1-\sqrt{2}\right)=$  

$=\left(\sqrt{2}\cdot 4+2a+1-\sqrt{2}\right)-4\left(\sqrt{2}+a+1-\sqrt{2}\right)=$