select the expression that is equivalent to the phrase the product of 3 and a numbered squared minus the product of four and that same number plus 5

Answer 1

Let's break down the phrase step-by-step:

1. "the product of 3 and a number squared" can be represented as \(3x^2\), where \(x\) is the numbered variable.
2. "minus the product of four and that same number" translates to \(-4x\).
3. "plus 5" at the end indicates we should add 5.

Combining all these components together, the expression becomes:

\[ 3x^2 - 4x + 5 \]

So, the equivalent expression is \(3x^2 - 4x + 5\).