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

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

Putting it all together, the expression is:

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

So the correct response is \(3x^2 - 4x + 5\).