1. ## help me

A Polynomial of lowest degree with integral coefficient, whose one of the Zero is root3+root2 is
a) a(x^4-6x^2+10
b) a(x^4-10x^2+1)
c) a(x^4-9x^2+1)
d) none of these

2. If $x_1=\sqrt{3}+\sqrt{2}$ then $x_2=\sqrt{3}-\sqrt{2}, \ x_3=-\sqrt{3}+\sqrt{2}, \ x_4=-\sqrt{3}-\sqrt{2}$

Then $P(x)=a(x-x_1)(x-x_2)(x-x_3)(x-x_4)=$

$=a[x^4-(x_1+x_2+x_3+x_4)x^3+(x_1x_2+x_1x_3+x_1x_4+x_2x_3+ x_2x_4+x_3x_4)x^2-$

$-(x_1x_2x_3+x_1x_2x_4+x_1x_3x_4+x_2x_3x_4)x+x_1x_2x _3x_4]=$

$=a(x^4-10x^2+1)$