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)+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 What’s the answer

Answer 1

To apply the Distributive Property to the expression \((3x - 1)(x - 4)\), you need to distribute each term in the first parentheses by 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 these products:
\[
3x^2 - 12x - x + 4 = 3x^2 - 13x + 4
\]

None of the provided responses match this result exactly. However, the most common way to present the final result would be \(3x^2 - 13x + 4\). It appears that there may have been an oversight in the formulation of the answer choices given.

If one of the answers had been \(3x^2 - 13x + 4\), that would be correct. However, neither of the provided responses is accurate based on proper application of the Distributive Property.