Conditions for Function Positivity

Hard Algebra Expressions, Equations, And Inequalities

Let p be a function defined by the equation:

$$p(x) = 3x^2 - 5x + k$$

where k is a constant. If p(x) is positive for all values of x, which of the following conditions must k satisfy?

k must be greater than 0.

k must be less than 0.

k must be equal to 0.

The relationship cannot be determined from the information given.

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