Q:

Express the polynomial 5a^2 + 3a^3 + 1 in standard form and then classify it.A. A. cubic binomialB. quadratic monomialC. cubic trinomialD. linear trinomial

Accepted Solution

A:
Answer: OPTION CStep-by-step explanation:  To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent. Therefore, for the polynomial  [tex]5a^2 + 3a^3 + 1[/tex], you get:   [tex]3a^3 +5a^2 +1[/tex] The highest exponent gives you the degree of the polynomial. In this case, the highest exponent is 3, then it is a polynomial of degree 3 or a cubic polynomial. When a polynomial has three terms, is called "trinomial". Since this polynomial has three terms, it is a trinomial. Therefore, the you can classify it as: Cubic trinomial