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(−1)+3x(3x)+x(−4) What’s the answer

Answer 1

To use the Distributive Property to rewrite the expression \((3x - 1)(x - 4)\), we can distribute each term in the first parenthesis to each term in the second parenthesis:

1. Multiply \(3x\) by both terms in \((x - 4)\):
- \(3x \cdot x = 3x^2\)
- \(3x \cdot (-4) = -12x\)

2. Multiply \(-1\) by both terms in \((x - 4)\):
- \(-1 \cdot x = -x\)
- \(-1 \cdot (-4) = 4\)

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

Combine the like terms (\(-12x - x\)):
\[
3x^2 - 13x + 4
\]

So, the correct rewritten expression using the Distributive Property is:
\[
3x^2 - 13x + 4
\]

However, based on the provided response options, it seems that the expression you listed as the answer was "3x^2 - 5x + 4," which is incorrect based on the calculations shown above. The correct response is not listed among the options you've provided.