F(x)=(2x−3)(x+6)(5x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 2, x, minus, 3, right parenthesis, left parenthesis, x, plus, 6, right parenthesis, left parenthesis, 5, x, plus, 6, right parenthesis has zeros at x=-6x=−6x, equals, minus, 6, x=-\dfrac{6}{5}x=−
5
6

x, equals, minus, start fraction, 6, divided by, 5, end fraction, and x=\dfrac{3}{2}x=
2
3

x, equals, start fraction, 3, divided by, 2, end fraction

what is the sign of fff on the interval -6 5
6

minus, 6, is less than, x, is less than, minus, start fraction, 6, divided by, 5, end fraction, space?
choose 1

(choice a)
a
fff is always positive on the interval.

(choice b)
b
fff is always negative on the interval.

(choice c)
c
fff is sometimes positive and sometimes negative on the interval.