Is #7x^3# a monomial?

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Answer 1 · 2015-06-13T12:20:11

Yes it is.

A monomial is a product of a constant and variables raised to non-negative whole number powers.

Monomial Examples:

#5x#, #color(white)"W"# #2/3a^2#, #color(white)"W"# #4x^3y^2z#

Examples that may take some thought:

#3#, (Sometimes we say that this is #3x^0#, since #x^0 =1# for all #x# except #x=0#)

#0#, (sometimes it is helpful to write this as #0x^2# or #0t#)

#7sqrt3 x^5#, (It is ok for the constant to involve a root)

Not Monomials:

#2/x# (Monomials do not have variables in the denominator.)

#5sqrtx# (Monomials do not have roots of the variables.)

#3x^2 + 7x# (This is a binomial.)