A polynomial function p is graphed, which goes through (-5,0), (-1.5,0), (2,0). What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: A polynomial function p is graphed, which goes through (-5,0), (-1.5,0), (2,0). What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)
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 function p is graphed, which goes through (-5,0), (-1.5,0), (2,0). What could be the equation of p?
Choices:
A:p(x)=(x+5)(2 x+3)(x-2)
B:p(x)=(x-5)(2 x-3)(x+2)
C:p(x)=(-5 x)\left(-\frac{3}{2} x\right)(2 x)
D:p(x)=(5 x)\left(\frac{3}{2} x\right)(-2 x)