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, meaning you can distribute a factor across a sum.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, multiply the monomial by each term in the polynomial.

Front

What is the result of (3x)(2x + 4)?

Back

6x^2 + 12x.

Front

What is the FOIL method?

Back

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

Front

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

Back

x^2 + 5x + 6.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

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

Back

x^2 - 1.

Front

What is the result of (x + 2)(x^2 + 3x + 4)?

Back

x^3 + 5x^2 + 10x + 8.