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 minus 4 x plus 5

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

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 algebraic expression, we can define the number as \( x \).

1. "The product of 3 and a number squared" translates to \( 3x^2 \).
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 becomes:

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

Thus, the equivalent expression is:

3x² - 4x + 5.