Question
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
Answers
GPT-4o mini
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**
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**