Intro to 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 the degree of a polynomial?

Back

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

Front

How do you determine the degree of the polynomial 3x^4 + 2x^2 - 7?

Back

The degree is 4, as the highest exponent of x is 4.

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

Classify the polynomial 4x^3 - 5x^2 + 2x - 1 by its degree.

Back

It is a 3rd degree polynomial.

Front

Classify the polynomial 3x - 2 by its degree.

Back

It is a 1st degree polynomial.

Front

What is the leading coefficient of the polynomial 5x^4 - 3x^2 + 2x^6 - x + 7?

Back

The leading coefficient is 2, as it corresponds to the term with the highest degree (2x^6).

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.