A polynomial $p$ is graphed, which goes through (-2.5,0), (-1,0), (3,0). 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:$p(x)=(x+1)(2 x+5)(x-3)^2$
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A polynomial $p$ is graphed, which goes through (-2.5,0), (-1,0), (3,0). 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:$p(x)=(x+1)(2 x+5)(x-3)^2$
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, which goes through (-2.5,0), (-1,0), (3,0). 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:$p(x)=(x+1)(2 x+5)(x-3)^2$