A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?

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  the cut plane is between non-intersecting edges

Step-by-step explanation:

The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

step-by-step explanation:

goog be able to you with that maybe