Polynomial Classifications: Terms, Degree, and Naming Conventions

What is a polynomial with 1 term called?

Monomial

What is a polynomial with 2 terms called?

Binomial

What is a polynomial with 3 terms called?

Trinomial

What is a polynomial with 4 or more terms called?

Polynomial

What does the number of terms tell you when classifying a polynomial?

It tells you whether it is a monomial, binomial, trinomial, or polynomial.

What is the degree name for degree 0?

Constant

What is the degree name for degree 1?

Linear

What is the degree name for degree 2?

Quadratic

What is the degree name for degree 3?

Cubic

What is the degree name for degree 4?

Quartic

What does the degree tell you when classifying a polynomial?

It tells you the name based on the highest exponent.

How do you find the degree of a polynomial?

Look for the highest exponent.

How do you find the number of terms in a polynomial?

Count the terms separated by plus or minus signs.

Classify the polynomial 5.

Constant monomial

Classify the polynomial x + 2.

Linear binomial

Classify the polynomial x² + 3x + 1.

Quadratic trinomial

Classify the polynomial x³ - 4.

Cubic binomial

Classify the polynomial 2x⁴ + x² - 7x + 5.

Quartic polynomial

Classify the polynomial 7x.

Linear monomial

Classify the polynomial 3x² - 8.

Quadratic binomial

Classify the polynomial x³ + 2x² + x.

Cubic trinomial

Classify the polynomial 4x⁴.

Quartic monomial

Classify the polynomial x⁴ + x³ + x² + x + 1.

Quartic polynomial