Question

Tell whether the expression 3x^4 -5x +7 is a polynomial. If it is polynomial , find the degrees and determine whether it is a monomial, binomial, or trinomial.

Answer 1

Given:

The polynomial is:

$3x^4-5x+7$

To find:

The degrees and determine whether it is a monomial, binomial, or trinomial.

Solution:

We have,

$3x^4-5x+7$

The highest power of the variable x in the given polynomial is 4. So, the degree of the polynomial is 4.

Monomial: Polynomial with one term.

Binomial: Polynomial with two terms.

Trinomial: Polynomial with three terms.

In the given polynomial, we have three terms $3x^4,-5x,7$. So, the given polynomial is trinomial.

Therefore, the degree of the polynomial is 4 and it is a trinomial.