Classifying Polynomials

Front

What is a polynomial?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x or -3y^2.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 2 or 3a - 4b.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

How do you classify a polynomial by the number of terms?

Back

Polynomials can be classified as monomial (1 term), binomial (2 terms), trinomial (3 terms), or polynomial with more than three terms.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

How do you determine the degree of a polynomial?

Back

To determine the degree, identify the term with the highest exponent and that exponent is the degree of the polynomial.

Front

Classify the polynomial: 4x^3 + 2x^2 - 5x + 7

Back

Cubic trinomial (degree 3, 3 terms).

Front

Classify the polynomial: 2x^4 - 3x^2 + 1

Back

Quartic trinomial (degree 4, 3 terms).

Front

Classify the polynomial: 5x^2

Back

Quadratic monomial (degree 2, 1 term).