Bonjour,
[tex]1)\\
f(x)=(x-1)^2-9=(x-1-3)(x-1+3)=(x+4)(x+2)\\\\Sommet=(1,-9)\\\begin{array}{c|ccccc}&&-2&&4&\\x+2&-&0&+&+&+\\x-4&-&-&-&0&+\\\\f(x)&+&0&-&0&+\\\end{array}[/tex]
[tex]2)\\f(x)=10-(x+5)^2\\=(\sqrt{10}-x-5)(\sqrt{10}+x+5)\\=(x+5+\sqrt{10})(x+5-\sqrt{10})\\\\Sommet=(-5,10)\\\begin{array}{c|ccccc}&&-5-\sqrt{10}&&-5+\sqrt{10} &\\f(x)&-&0&+&0&-\\\end{array}[/tex]
