Diagnostic Test 2

$x^7-7x^6+21x^5-35x^4+35x^3-21x^2+7x-1$

$x^7+7x^6-21x^5+35x^4-35x^3+21x^2-7x+1$

$x^6-6x^5+15x^4-20x^3+15x^2-6x+1$

$x^8-8x^7+28x^6-56x^5+70x^4-56x^3+28x^2-8x+1$