According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)
Responses
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+6x+4
3 x squared plus 6 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
3x2−5x+4
3x2−5x+4
According to the Distributive Property, the correct way to rewrite the algebraic expression (3x−1)(x−4) is:
3x(x) + 3x(-4) + (-1)(x) + (-1)(-4)
Simplifying the expression further:
3x^2 - 12x + (-x) + 4
Combining like terms:
3x^2 - 13x + 4
Therefore, the correct rewritten expression is 3x^2 - 13x + 4.