Classifying, Adding, Subtracting, and Multiplying 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 expression.

Front

How do you determine 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 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: 3x^2 + 2x - 5.

Back

Trinomial.

Front

Classify the polynomial: 7x.

Back

Monomial.

Front

Classify the polynomial: x^3 - 4x + 1.

Back

Trinomial.

Front

What is the result of multiplying a polynomial by a monomial?

Back

You multiply each term of the polynomial by the monomial.