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

How are polynomials classified by the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), trinomials (3 terms), or polynomials with more than three terms.

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.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How are polynomials classified by degree?

Back

Polynomials are classified by their highest degree: constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.

Front

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which can be expressed in the form ax + b.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax² + bx + c.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax³ + bx² + cx + d.

Front

What is the degree of the polynomial 4x^5 - 3x^2 + 2?

Back

The degree of the polynomial 4x^5 - 3x^2 + 2 is 5, as the highest exponent is 5.