Multiplying monomial by polynomial

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply a monomial by a polynomial?

Back

Multiplying a monomial by a polynomial involves distributing the monomial to each term of the polynomial.

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 exponents.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial, such as 4 in 4x^3.

Front

What is a degree of a polynomial?

Back

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

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial can have multiple terms.