Multiplying Monomials by Polynomials

Front

What is a monomial?

Back

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

Front

What is a polynomial?

Back

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, such as 2x^2 - 3x + 5.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term in the polynomial.

Front

Simplify: 2x(-2x - 3)

Back

-4x^2 - 6x

Front

Simplify: -3x^2(7x^2 - x + 4)

Back

-21x^4 + 3x^3 - 12x^2

Front

Simplify: -5x^6(3x^2 - 12x + 30)

Back

-15x^8 + 60x^7 - 150x^6

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

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

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 the coefficient in a polynomial?

Back

The coefficient is the numerical factor in front of a variable in a term, such as 4 in 4x^2.