Final answer:
The statement 3x^2 ≤ 3x^2 - 17x + 5 can be expressed using ω-notation as 3x^2 = ω((x^2 - 17x + 5)).
Step-by-step explanation:
In the context of algorithm analysis, ω-notation is used to describe the lower bound or best-case running time of an algorithm.
The given statement is 3x2 ≤3x2 −17x+5. To express this using ω-notation, we are looking for a function that serves as a lower bound for the given expression.
In this case, 3x2 is already the lowest term on the right side of the inequality, and the additional terms on the right side will make the expression even larger.
Therefore, the lower bound is 3x2.
So, the statement in ω-notation is 3x2 = ω(3x2−17x+5).