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Choose the correct classification of 5x + 3x4 − 7x3. (5 points)

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

Fourth degree polynomial

Given is an algebraic expression with 4 terms as

5x+3x^4-7x^3+105x+3x

4

−7x

3

+10

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

We get

3x^4-7x^3+5x+103x

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.

Fourth degree trinomial

Explanation:

The highest power is 4 and there are three parts to the equation.