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 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

What is a polynomial with four or more terms called?

Back

A polynomial with four or more terms is often referred to as a 'multi-term polynomial' or simply a 'polynomial'.

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 multi-term (4 or more terms).

Front

How do you classify a polynomial by its degree?

Back

Polynomials can be classified by degree: Constant (degree 0), Linear (degree 1), Quadratic (degree 2), Cubic (degree 3), and so on.

Front

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

Back

The degree of the polynomial 3x^3 - 6x is 3, making it a cubic polynomial.

Front

What is the degree of the polynomial 12?

Back

The degree of the polynomial 12 is 0, making it a constant polynomial.

Front

Classify the polynomial 7x^3 - 8x^2 + 9 by number of terms.

Back

The polynomial 7x^3 - 8x^2 + 9 is classified as a trinomial.