Which description is correct for the polynomial 3x^4+x+7?
quartic binomial
quadratic trinomial
cubic trinomial
quartic trinomial

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Answer:

D. Quartic trinomial

Step-by-step explanation:

Given polynomial:

[tex]3x^4+x+7[/tex]

We can make following conclusions for the given polynomial.

1) The polynomial has three terms including a constant term. Thus it is a trinomial as trinomials are polynomials with 3 unlike terms.

2) The leading term is [tex]3x^4[/tex] as it is the highest degree term..

3) The degree of polynomial is 4 as leading variable [tex]x[/tex] in the leading term is raised to power of 4. Thus, it is a quartic polynomial as it is of degree 4.

Thus, this polynomial can be called a quartic trinomial.

Answer:

quartic trinomial

Step-by-step explanation:

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