Let's write the polynomial in standard form (from the greatest to the least power):
[tex]\frac{1}{8}x^4+6x^3+2[/tex]
From this form we notice the following things:
Then polynomial has three terms.
The polynomial greatest power is four, which means that this is a quartic polynomial.
The constant term (the terms without a variable) is 2.
The leading terms (the terms with the greatest power) is:
[tex]\frac{1}{8}x^4[/tex]
The leading coefficient (the coefficient of the leading term) is 1/8.
With all this in mind we conclude that:
The expression represents a quarti
