Select the expression that is equivalent to the phrase: The product of 3 and a number squared minus the product of four and that same number, plus 5. (1 point) 4x ^ 2 - 3x + 5; 3x ^ 2 - 4x + 5; 3x ^ 2 + 4x - 5; 4x ^ 2 + 3x + 5

Answer 1

Let's break down the phrase step by step:

1. The product of 3 and a number squared: This can be expressed as \(3x^2\) if we let the number be \(x\).

2. 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 \(3x^2 - 4x\).

3. 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