Positive & negative intervals of polynomials

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Problem

f, left parenthesis, x, right parenthesis, equals, x, left parenthesis, 4, x, plus, 9, right parenthesis, left parenthesis, x, minus, 2, right parenthesis, left parenthesis, 2, x, minus, 9, right parenthesis, left parenthesis, x, plus, 5, right parenthesis has zeros at x, equals, minus, 5, x, equals, minus, start fraction, 9, divided by, 4, end fraction, x, equals, 0, x, equals, 2, and x, equals, start fraction, 9, divided by, 2, end fraction.
What is the sign of f on the interval 0, is less than, x, is less than, 2, space?
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