fan and medal awarded to best explaination

Choose the correct classification of 5x + 3x^4 − 7x^3 + 10 by number of terms and by degree.
Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial

Question

fan and medal awarded to best explaination

Choose the correct classification of 5x + 3x^4 − 7x^3 + 10 by number of terms and by degree.
Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial

anonymous · Answer

The degree of a polynomial is the heighest power of x

mathstudent55 · Answer

A monomial is a single number or a number multiplied by any number of variables.
A sum of monomials is a polynomial.
A two-term polynomial has the name binomial.
A three-term polynomial has the name trinomial.
The degree of a monomial is the sum of all the exponents of the variables of that monomial.
The degree of a ploynomial is the same as the degree of the monomial with highest degree.

anonymous · Answer

im thinking its the fourth

anonymous · Answer

@mathstudent55

mathstudent55 · Answer

Look at each term, which is a monomial.
Term      Degree
5x           1
3x^4       4
-7x^3     3
10          0
The degree of the polynomial is the degree of the highest term. The highest term is degree 4, so the polynomial is degree 4.

mathstudent55 · Answer

The 4th answer has binomial in it. A binomial has only 2 terms. This polynomial has 4 terms.