Question

Which description is correct for the polynomial 3x^4+x+7?

quartic binomial
quadratic trinomial
cubic trinomial
quartic trinomial

Answer 1

quartic trinomial

Explanation:

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Answer 2

D. Quartic trinomial

Explanation:

Given polynomial:

`3x^4+x+7`

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
`3x^4` as it is the highest degree term..

3) The degree of polynomial is 4 as leading variable
`x` 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.