Algebra 2: Factoring Polynomials

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

The GCF is the largest factor that two or more numbers share. It is used to simplify expressions before factoring.

(3v - 7)(v + 1)

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Factoring completely means breaking down a polynomial into its simplest factors, ensuring no further factoring is possible.

3(x + 5)(x + 1)

A difference of squares is a special factoring pattern that applies to expressions of the form a² - b², which factors to (a - b)(a + b).

(9m - 1)(9m + 1)

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

(2h - 3)²