Mathematics problems of grade nine (quadratic function) How to judge a + B + C A-B + C 8A + 6B + 2C is not greater than 0

Mathematics problems of grade nine (quadratic function) How to judge a + B + C A-B + C 8A + 6B + 2C is not greater than 0

Solving this kind of problem is usually combined with image
When x = 1, y = a + B + C, which quadrant is the corresponding point (1, a + B + C) in the image,
Then we can judge whether a + B + C is greater than 0,
When x = - 1, y = A-B + C,
8A + 6B + 2C should not appear, there is no such x value