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.

Question

A) 3x^2 + 4x - 5
B) 4x^2 - 3x +5
C) 3x^2 - 4x + 5
D) 4x^2 + 3x + 5

Answer 1

Let's analyze the phrase step by step:

1. "The product of 3 and a number squared": This can be expressed as \(3x^2\) where \(x\) is the number.

2. "minus the product of four and that same number": This can be expressed as \(-4x\).

3. "plus 5": This is simply \(+5\).

Now, we can combine these parts to form the complete expression:

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

Thus, the expression that is equivalent to the given phrase is:

C) 3x^2 - 4x + 5.