Multiplying Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x + 1 is a polynomial.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine each term in one polynomial with each term in another polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term in a polynomial.

Front

Simplify: 2a(3a + 4)

Back

6a^2 + 8a

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 + 5, the degree is 3.

Front

What is a monomial?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as 3x + 4 or x^2 - 5.

Front

What is a trinomial?

Back

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

Front

Simplify: 4x(2x^2 + 3x + 1)

Back

8x^3 + 12x^2 + 4x

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the FOIL method (First, Outside, Inside, Last). For example, (a + b)(c + d) = ac + ad + bc + bd.