Question

Which statement is true? All constants are of degree 0. All monomials are of degree 1. All binomials are of degree 1. All trinomials are of degree 3.

Answer 1

Option 1 is correct.

Explanation:

Given the following statements we have to choose the true statement.

First option: All constants are of degree 0

The constant term of a polynomial is the term in which the variable does not appear i.e no variable include in that term i.e of degree 0.

Second option: All monomials are of degree 1

Monomials are the polynomials containing 1 term not necessarily of degree 1. Hence, the above statement not true.

Third option: All binomials are of degree 1

Binomials are the polynomials containing 2 term not necessarily of degree 1. Hence, the above statement not true.

Fourth option: All trinomials are of degree 3

Trinomials are the polynomials containing 3 terms not necessarily of degree 3. Hence, the above statement not true.

Hence, option 1 is correct.

Answer 2

Among the statements only the First statement is true, All constants are of degree 0. Because monomials can have any degrees while binomials will always be in the 1 degree. Also, trinomials will always have a degree of 2.