求证:(x^2-4)(x-3)(x-7)+100的值为非负数求求你

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求证:(x^2-4)(x-3)(x-7)+100的值为非负数求求你
求证:(x^2-4)(x-3)(x-7)+100的值为非负数
求求你

求证:(x^2-4)(x-3)(x-7)+100的值为非负数求求你
(x^2 - 4) (x - 3) (x - 7) + 100;
(-3 + x) (-2 + x) (-7 + x) (2 + x) + 100;
(6 - 5 x + x^2) (-14 - 5 x + x^2) + 100;
设 - 5 x + x^2 = y
(6 + y) (-14 + y) + 100;
-84 - 8 y + y^2 + 100;
16 - 8 y + y^2;
(-4 + y)^2 >= 0