Multiplying Binomials and Factoring

Front

What is a binomial?

Back

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

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 of multiplication.

Front

Find the product: (n - 5)(n - 1)

Back

n² - 6n + 5

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

Factor the expression: 2x² - 3x - 2

Back

(2x + 1)(x - 2)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve the equation: 3x² + 9x - 30 = 0

Back

x = 2, -5

Front

Find the product: (x + 12)(x - 12)

Back

x² - 144

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (a + b)² = a² + 2ab + b².