Question

Choose the correct classification of 5x + 3x4 − 7x3 + 10 by number of terms and by degree.

Third degree polynomial
Fourth degree polynomial
Sixth degree polynomial
First degree binomial

Answer 1

Fourth degree polynomial.

Explanation:

Took test this answer not third degree polynomial.

Answer 2

Fourth degree polynomial

Explanation:

Given is an algebraic expression with 4 terms as

`5x+3x^4-7x^3+10`

First let us arrange these terms in the descending powers of x.

We get

`3x^4-7x^3+5x+10`

is the standard way of representing any polynomial.

This is a polynomial because x has powers only as non negative integers.

The degree is 4 since the leading term or highest degree term has degree 4.

This is a polynomial as this got more than 3 terms after simplification.

Hence Option B is the answer.