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 does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to multiply each term in one polynomial by each term in another polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a sum.

Front

Multiply: (x + 2)(x + 3)

Back

x^2 + 5x + 6

Front

Multiply: (5x + 2)(x^2 - 3x + 6)

Back

5x^3 - 13x^2 + 24x + 12

Front

Multiply: (4x + 1)(5x - 2)

Back

20x^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 a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (x + 7) or (3x - 6).

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as (x^2 + 5x + 6).

Front

Multiply: (3x - 6)(7x + 7)

Back

21x^2 - 21x - 42