Question

Express the polynomial 5a^2+3a^3+1 in standard form and then classify it

Answer 1

For this case we have that by definition, the standard form of a polynomial is given by:

$P(x)=ax^n+bx^{n-1}+ ... +cx^3+ dx^2+ ex +f$

Where:

$n, n-1,3,2,1$: 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:

$5a^2+3a^3+1$

We express in the standard way:

$3a^3+5a^2+1$

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