For this case we have that by definition, the standard form of a polynomial is given by:
[tex]P(x)=ax^n+bx^{n-1}+ ... +cx^3+ dx^2+ ex +f[/tex]
Where:
[tex]n, n-1,3,2,1[/tex]: Are the exponents
x: It is the variable
a, b, c, d, e: Are the coefficients
f: It is the independent term
n: It is the degree of the polynomial (greatest exponent)
In this case we have the following expression:
[tex]5a^2+3a^3+1[/tex]
We express in the standard way:
[tex]3a^3+5a^2+1[/tex]
It is noted that the polynomial has 3 terms, so it is a trinomial. In addition, the greatest exponent is "3" (so 3 is the degree of the trinomial), so we have that it is a cubic trinomial.
Answer:
OPTION D
