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)

Question

Responses

3x2+4x−5
3 x squared plus 4 x minus 5

4x2−3x+5
4 x squared minus 3 x plus 5

4x2+3x+5
4 x squared plus 3 x plus 5

3x2−4x+5

Answer 1

To translate the phrase "The product of 3 and a number squared, minus the product of four and that same number, plus 5" into an expression, we can break it down step by step.

1. "The product of 3 and a number squared" can be written as \( 3x^2 \) (where \( x \) is the number).
2. "minus the product of four and that same number" translates to \( -4x \).
3. "plus 5" simply adds 5.

Combining these parts, the expression becomes: \[ 3x^2 - 4x + 5 \]

Thus, the equivalent expression is: 3x² - 4x + 5.