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 combine each term in one polynomial with each term in another polynomial.

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

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

Back

x² + 16x + 63

Front

Find the product: (5s + 2)²

Back

25s² + 20s + 4

Front

What is the result of (x - 3)(x² + 2x + 7)?

Back

x³ - x² + x - 21

Front

Find the product: (3x − 6)(7x + 7)

Back

21x² − 21x − 42

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

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last, to find the product.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as (x + 3) or (2y - 5).