Let's break down the phrase step by step:
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The product of 3 and a number squared: This can be expressed as \(3x^2\) if we let the number be \(x\).
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Minus the product of four and that same number: The product of four and that same number can be expressed as \(4x\). So, we have \(3x^2 - 4x\).
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Plus 5: Finally, we need to add 5 to the expression.
Putting it all together, we get:
\[3x^2 - 4x + 5\]
Thus, the expression that is equivalent to the given phrase is:
3x^2 - 4x + 5