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)

Responses

3x2−4x+5
3 x squared minus 4 x plus 5

4x2−3x+5
4 x squared minus 3 x plus 5

3x2+4x−5
3 x squared plus 4 x minus 5

4x2+3x+5

1 answer

The phrase "The product of 3 and a number squared, minus the product of four and that same number, plus 5" can be broken down as follows:

  • "The product of 3 and a number squared" translates to \(3x^2\).
  • "minus the product of four and that same number" translates to \(-4x\).
  • "plus 5" is simply \(+5\).

Combining these parts, we get the expression:

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

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

3x² - 4x + 5.