A polynomial p is graphed, which goes through (-3.5,0), (0,0), (3,0). What could be the equation of p?
Choices:
A:p(x)=x(x-3)^2(2 x+7)
B:p(x)=x^2(x-3)(2 x+7)
C:p(x)=x(x-3)^2(2 x+7)^2
D:p(x)=x(x-3)(2 x+7)^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 (-3.5,0), (0,0), (3,0). What could be the equation of p?
Choices:
A:p(x)=x(x-3)^2(2 x+7)
B:p(x)=x^2(x-3)(2 x+7)
C:p(x)=x(x-3)^2(2 x+7)^2
D:p(x)=x(x-3)(2 x+7)^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 (-3.5,0), (0,0), (3,0). What could be the equation of p?
Choices:
A:p(x)=x(x-3)^2(2 x+7)
B:p(x)=x^2(x-3)(2 x+7)
C:p(x)=x(x-3)^2(2 x+7)^2
D:p(x)=x(x-3)(2 x+7)^2