question: A polynomial $p$ is graphed. What could be the equation of $p$ ?
  Choices:
  A:$p(x)=(x+1)^2(2 x+5)^2(x-3)^2$
  B:$p(x)=(x+1)^2(2 x+5)(x-3)^2$
  C:$p(x)=(x+1)^2(2 x+5)(x-3)$
  D:$p(x)=(x+1)(2 x+5)(x-3)^2$
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: A polynomial $p$ is graphed. What could be the equation of $p$ ?
  Choices:
  A:$p(x)=(x+1)^2(2 x+5)^2(x-3)^2$
  B:$p(x)=(x+1)^2(2 x+5)(x-3)^2$
  C:$p(x)=(x+1)^2(2 x+5)(x-3)$
  D:$p(x)=(x+1)(2 x+5)(x-3)^2$
query_cot: Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
  Question: A polynomial $p$ is graphed. What could be the equation of $p$ ?
  Choices:
  A:$p(x)=(x+1)^2(2 x+5)^2(x-3)^2$
  B:$p(x)=(x+1)^2(2 x+5)(x-3)^2$
  C:$p(x)=(x+1)^2(2 x+5)(x-3)$
  D:$p(x)=(x+1)(2 x+5)(x-3)^2$
question_for_eval: A polynomial $p$ is graphed. What could be the equation of $p$ ?
  Choices:
  A:$p(x)=(x+1)^2(2 x+5)^2(x-3)^2$
  B:$p(x)=(x+1)^2(2 x+5)(x-3)^2$
  C:$p(x)=(x+1)^2(2 x+5)(x-3)$
  D:$p(x)=(x+1)(2 x+5)(x-3)^2$