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

How do you classify polynomials based on the number of terms?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with exactly 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 do you determine the degree of a polynomial?

Back

The degree of a polynomial is determined by the highest exponent of its variable.

Front

What is the degree of the polynomial 4x^2 - 9x - 10?

Back

The degree of the polynomial 4x^2 - 9x - 10 is 2, as the highest exponent is 2.

Front

What is the degree of the polynomial 8x^3 - 6x?

Back

The degree of the polynomial 8x^3 - 6x is 3, as the highest exponent is 3.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the leading term of the polynomial 4x^2 - 9x - 10?

Back

The leading term of the polynomial 4x^2 - 9x - 10 is 4x^2.