Multiplying polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine terms from each polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What is the product of (x + 2)(x + 3)?

Back

x² + 5x + 6

Front

What is the product of 5xy(6x - y)?

Back

30x²y - 5xy²

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

What is the product of (x - 2)²?

Back

x² - 4x + 4

Front

What is the product of (3x - 6)(7x + 7)?

Back

21x² - 21x - 42

Front

What is the product of (a + b)(a + b)?

Back

a² + 2ab + b²

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.