Four points are always coplanar if: check all that apply. a. they lie in the same plane. b. three of them are coplanar. c. all of them are collinear. d. they are not in the same plane.

Four points are always coplanar if:

A.They lie in the same plane.

C.all of them are collinear.

Coplanar--

The points are said to be coplanar if all of them lie in the same plane.

Collinear-

The points are said to be collinear if all of them lie on a straight line.

Also as we know that a line always lie in one plane and so all the points that lie on that line will also lie in the same plane.

Hence, we may say that Four points will be coplanar if all of them are collinear.

      Hence, the correct options are:

         Option: A and Option: C

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form