Which polynomial could have the following graph?

ANSWER
y=(x+3)(x-1)(x-5)
EXPLANATION
The given polynomial has x-intercepts at x=-3,x=1,x=5
These are called the zeros of this polynomial.
We can use the factor theorem to obtain the polynomial in factored form.
The polynomial in factored form is of the form
y=a(x+3)(x-1)(x-5)
The polynomial rises on the left and keep rising on the right.
This implies that, the 'a' is positive.
Therefore
y=(x+3)(x-1)(x-5)
The correct choice is the first option.