Question

According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4) ?(1 point) Responses 3x2−5x+4 3 x squared minus 5 x plus 4 3x(x)+3x(−4)+−1(x)+−1(−4) 3 x left parenthesis x right parenthesis plus 3 x left parenthesis negative 4 right parenthesis plus negative 1 left parenthesis x right parenthesis plus negative 1 left parenthesis negative 4 right parenthesis 3x(−1)+3x(3x)+x(−4)+x(x) 3 x left parenthesis negative 1 right parenthesis plus 3 x left parenthesis 3 x right parenthesis plus x left parenthesis negative 4 right parenthesis plus x left parenthesis x right parenthesis 3x2+6x+4

take off all the words except the question

Answer 1

THANK YOU! Answer the question please

Answer 2

According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?

3x^2−5x+4
3x(x)+3x(−4)+−1(x)+−1(−4)
3x(−1)+3x(3x)+x(−4)+x(x)
3x^2+6x+4

Answer 3

To rewrite the expression \((3x - 1)(x - 4)\) using the Distributive Property, we perform the multiplication as follows:

\[
(3x - 1)(x - 4) = 3x \cdot x + 3x \cdot (-4) - 1 \cdot x - 1 \cdot (-4)
\]

Calculating each term:
- \(3x \cdot x = 3x^2\)
- \(3x \cdot (-4) = -12x\)
- \(-1 \cdot x = -x\)
- \(-1 \cdot (-4) = 4\)

Now combine the terms:
\[
3x^2 - 12x - x + 4 = 3x^2 - 13x + 4
\]

So the simplified expression is:
\[
3x^2 - 13x + 4
\]

None of the provided options match this final expression, as it seems like there was an error in transcription or computation. If you had a specific option that you think should be correct, please clarify!