Question

Classify each polynomial expression by number of terms and by degree. Identify the leading coefficient.

Polynomial Expression
Term Name
Degree Name
Leading Coefficient
3+ 4+1
22
monomial
2+5
binomial
trinomial

Answer 1

CLASSIFICATION OF POLYNOMIALS

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2x^2 + 4x + 1

• Trinomial, it has 3 terms so it is a trinomial.
• 2nd degree polynomial, its highest exponent in its variables is 2 so it is a 2nd degree polynomial

2x^3

• Monomial, it is only 1 term so it is a monomial.
• 3rd degree polynomial, its highest exponent in its variable is 3 so it is a 3rd degree polynomial.

x + 5

• Binomial, it has 2 terms so it is a binomial.
• 1st degree polynomial, the variable x has an invisible exponent of 1 so it is a 1st degree polynomial.