4.1 Classifying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What are the classifications of polynomials based on the number of terms?

Back

Polynomials can be classified as: - Monomial (1 term) - Binomial (2 terms) - Trinomial (3 terms) - Polynomial with 4 or more terms.

Front

Classify the polynomial: 3x^3 – 6x

Back

Binomial (2 terms) because it has two distinct terms.

Front

Classify the polynomial by degree: 3x^3 – 6x

Back

Cubic (degree 3) because the highest exponent is 3.

Front

Classify the polynomial by degree: 12

Back

Constant (degree 0) because it does not contain any variable.

Front

Classify the polynomial: 9x

Back

Monomial (1 term) because it has only one term.

Front

Classify the polynomial by degree: 3x^2 – 8x + 1

Back

Quadratic (degree 2) because the highest exponent is 2.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the polynomial.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.