Express the polynomial 5a^2+3a^3+1 in standard form and then classify it a. quadratic monomial b. linear monoimal c. cubic binomial d. cubic trinomial

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

Where:

: 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:

We express in the standard way:

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.

OPTION D

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.