question_answer

If P and Q are the zeros of the polynomial \[a{{x}^{2}}+bx+c\], what is the value of \[{{\text{P}}^{\text{2}}}+{{\text{Q}}^{\text{2}}}\]?

A)  \[\frac{{{b}^{2}}+2ac}{{{a}^{2}}}\]                          

B)  \[\frac{{{a}^{2}}+2bc}{{{b}^{2}}}\]

C)  \[\frac{{{a}^{2}}-2bc}{{{b}^{2}}}\]           

D)         \[\frac{{{b}^{2}}-2ac}{{{a}^{2}}}\]