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

Simplify: 5(3x + 2)

Back

15x + 10

Front

What is the result of (x + 7)(x + 9)?

Back

x² + 16x + 63

Front

What is the result of (5x - 1)(x + 1)?

Back

5x² + 4x - 1

Front

What is the result of (x + 7)(3x + 2)?

Back

3x² + 23x + 14

Front

What is the result of (4x + 1)(5x - 2)?

Back

20x² - 3x - 2

Front

What is a coefficient in a polynomial?

Back

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

Front

What is a term in a polynomial?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, multiplied together.