The phrase "The product of 3 and a number squared, minus the product of four and that same number, plus 5" can be broken down as follows:
- "The product of 3 and a number squared" translates to \(3x^2\) (where \(x\) represents the number).
- "minus the product of four and that same number" translates to \(-4x\).
- "plus 5" is simply \(+5\).
Putting it all together, the expression is:
\[ 3x^2 - 4x + 5 \]
So the correct response is \(3x^2 - 4x + 5\).