Which of the following polynomials is 3x3(x−1)+x(x−1)

in standard form?(1 point)
Responses

3x4−3x3+x2−x
3 x superscript 4 baseline minus 3 x cubed plus x squared minus x

−3x4−3x3−x2−x
negative 3 x superscript 4 baseline minus 3 x cubed minus x squared minus x

3x4+3x3+x2+x
3 x superscript 4 baseline plus 3 x cubed plus x squared plus x

3x6−6x5+4x4

1 answer

To put the polynomial 3x3(x1)+x(x1) in standard form, we can simplify each term first.

  1. Distributing 3x3(x1): 3x3(x1)=3x43x3

  2. Distributing x(x1): x(x1)=x2x

Now we add these two results together: 3x43x3+x2x

Next, we can organize it in standard form, which is typically written in descending order of degrees: 3x43x3+x2x

Thus, the polynomial in standard form is: 3x43x3+x2x

The correct response is: 3x⁴ − 3x³ + x² − x