x^4-16
=(x^2-4)(x^2+4)
(x-2)(x+2)(x^2+4)
x^3-8
=(x-2)(x^2+2+4)
x^2-7x+10
=(x-2)(x-5)
x^4-16,x³-8,x²-7x+10三个多项式的公因式是:x-2