Question

classify this polynomial. $r^{10} + 5r^7 - 9r^5 + r^4 - 1$ options: trinomial, binomial, monomial, none of these

Explanation:

Step1: Identify the number of terms

A monomial has 1 term, a binomial has 2 terms, a trinomial has 3 terms. The polynomial is \( r^{10}+5r^{7}-9r^{5}+r^{4}-1 \). Let's count the terms: \( r^{10} \), \( 5r^{7} \), \( -9r^{5} \), \( r^{4} \), \( -1 \). So there are 5 terms.

Step2: Compare with given options

Since monomial (1 term), binomial (2 terms), trinomial (3 terms) don't match 5 terms, we choose "none of these".

Answer:

none of these