QuestionClassify the polynomial . Options: monomial, trinomial, binomial, none of these.
Studdy Solution
STEP 1
Assumptions1. We are given a polynomial . We need to classify the polynomial into one of the following categories monomial, binomial, trinomial, or none of these.
STEP 2
A polynomial is classified based on the number of terms it has.1. A monomial has one term.
2. A binomial has two terms.
. A trinomial has three terms.
STEP 3
We examine the given polynomial, , and count the number of terms.A term in a polynomial is a product of a number (called the coefficient) and a variable raised to a power. Terms are separated by plus or minus signs.In our polynomial, the terms are and .
STEP 4
Count the number of terms in the polynomial.
The polynomial has two terms.
STEP 5
Since the polynomial has two terms, it is classified as a binomial.
The polynomial is a binomial.
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