Which is true about the polynomial 18r²s + 6r - 7s²?
It is a binomial with a degree of 2.
It is a binomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 3.

Solution:

Given polynomial 18r²s + 6r - 7s², is a trinomial that has three non-zero terms and the highest degree of variable is two.

Option (iv) is the answer.

The degree of the term 18 r² s is 2, 1

The degree of the term 6r is 1

The degree of the term (-7)s² is 2

There are 3 terms and hence it is a trinomial. The combined degree of the polynomial is 2+1 = 3

Note:

A monomial is a polynomial with exactly one term. Examples: x⁶, -5, 7xy

A binomial is a polynomial with exactly two terms.Examples: x + y, x - a, 2x³ + 3y².

A trinomial is a polynomial with exactly three terms.Examples: 2x + 3y + 7, x² + xy + y²

And degree → the highest power of the variables.

Which is true about the polynomial 18r²s + 6r - 7s²?

Summary:

The polynomial 18r²s + 6r - 7s²  is a trinomial with a degree of 3.