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 the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

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

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

What is a constant polynomial?

Back

A constant polynomial is a polynomial that has no variable term, only a constant value.

Front

How do you identify the leading coefficient of a polynomial?

Back

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

Front

What is the difference between a cubic polynomial and a quadratic polynomial?

Back

A cubic polynomial has a degree of 3, while a quadratic polynomial has a degree of 2.

Front

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

Back

The degree of the polynomial is 4.