Multiplying Polynomials / Binomials and Trinomials

Front

What is a polynomial?

Back

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

Front

What is a binomial?

Back

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

Front

What is a trinomial?

Back

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

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

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials, standing for First, Outside, Inside, Last, which refers to the order in which you multiply the terms.

Front

What is the result of (a + b)(a - b)?

Back

The result is a^2 - b^2, known as the difference of squares.

Front

What is the square of a binomial formula?

Back

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

Front

How do you expand (x + 5)^2?

Back

Using the formula, (x + 5)^2 = x^2 + 10x + 25.

Front

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

Back

The product is 4x^2 - 9, using the difference of squares.

Front

What is the result of multiplying a binomial by a trinomial?

Back

You multiply each term in the binomial by each term in the trinomial and combine like terms.