question_answer

If \[\alpha \]and \[\beta \]are the zeros of the quadratic polynomial \[a{{x}^{2}}+bx+c=0\]and x lies between \[\alpha \] and \[\beta \], then which of the following is true?

A)  \[If\,\,a<0\,\,than\,\,a{{x}^{2}}+bx+c>0\]

B)  \[If\,\,a>0\,\,than\,\,a{{x}^{2}}+bx+c<0\]

C)  \[If\,\,a>0\,\,than\,\,a{{x}^{2}}+bx+c>0\]

D)  Both (a) and (b)