Multiplying Binomials

Front

What is a binomial?

Back

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

Front

What does it mean to multiply binomials?

Back

Multiplying binomials involves using the distributive property to expand the product of two binomials, resulting in a 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

Calculate (x - 5)(x + 1) using the FOIL method.

Back

x^2 - 4x - 5.

Front

Calculate (x + 5)^2 using the FOIL method.

Back

x^2 + 10x + 25.

Front

Calculate (x + 2)(x + 3) using the FOIL method.

Back

x^2 + 5x + 6.

Front

Calculate (2x - 1)(x + 2) using the FOIL method.

Back

2x^2 + 3x - 2.

Front

Calculate (x - 3)(x + 10) using the FOIL method.

Back

x^2 + 7x - 30.

Front

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

Back

a^2 - b^2 (Difference of squares).

Front

What is the result of multiplying (x + a)(x + b)?

Back

x^2 + (a + b)x + ab.