Question

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

Answer 1

To apply the Distributive Property to the expression \((3x - 1)(x - 4)\), we need to distribute each term in the first parentheses across each term in the second parentheses.

1. Distribute \(3x\):
\[
3x \cdot x = 3x^2
\]
\[
3x \cdot (-4) = -12x
\]

2. Distribute \(-1\):
\[
-1 \cdot x = -x
\]
\[
-1 \cdot (-4) = 4
\]

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

Combine like terms:
\[
3x^2 - 13x + 4
\]

Thus, the correct rewritten expression using the Distributive Property results in:
**3x² - 13x + 4**.

None of the provided options directly match this, however, if there is a misprint or misunderstanding of the values, please recheck the options. Among the closest to our working is:
**3x² - 5x + 4**, but that's still incorrect for our use of the Distributive Property and should be checked against initial terms correctly.

The correct final expression after multiplication via Distributive Property leads to \(3x^2 - 13x + 4\).

Answer 2

your wrong

Answer 3

its not correct