Trilinear and triquadratic functions

[svishal03]

Can anyone tell me what are trilinear functions and triquadratic functions with an example?but I think they are extensions of linear and quad functions to 3 dimensions, please help

 

[HallsofIvy]

Yes, that's exactly what they are. An example of a "tri-linear function" would be
$$f(x,y,z)= 3x- 2y+ 4z$$

An example of a "tri-quadratic" function would be
$$g(x,y,z)= x^2+ y^2+ z^2$$
and another would be
$$h(x,y,z)= xy+ yz+ xz$$