Binomials Factoring

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as a + b.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or terms.

Front

How do you factor out the GCF from a polynomial?

Back

Identify the GCF of the terms, then divide each term by the GCF and express the polynomial as the GCF multiplied by the resulting polynomial.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern: a^2 - b^2 = (a + b)(a - b).

Front

How do you factor a binomial of the form a^2 - b^2?

Back

Use the difference of squares formula: a^2 - b^2 = (a + b)(a - b).

Front

What is the formula for factoring a perfect square trinomial?

Back

The formula is: a^2 + 2ab + b^2 = (a + b)^2 and a^2 - 2ab + b^2 = (a - b)^2.

Front

Factor the expression: 3x + 12.

Back

3(x + 4).

Front

Factor the expression: 24b^3 - 16.

Back

8(3b^3 - 2).

Front

Factor the expression: 4x^2 - 16.

Back

4(x + 2)(x - 2).