Q:
# What Is Factored Form?

**Factored form is defined as the simplest algebraic expression in which no common factors remain.** Finding the factored form is useful in solving linear equations.

Factored form may be a product of greatest common factors or the difference of squares. For instance, the factored form of x^3 + 2x^2 - 6 = x(x+2)(x-3) and the factored form of x^2 - 16 = (x+4)(x-4)

It is possible to solve for x by using factored form; x^2 + 5x + 6 can be reduced to its factored form by removing the x as a common factor. This results in (x+2)(x+3). Once in the factored form, solve for x by multiplying to get zero. In the equation (x+2)(x+3) = 0, the zero factor property explains that anything multiplied by zero equals zero. This means x + 2 = 0 and x + 3 = 0. The solutions to this formula would be x = -2 and x = -3.

Once the solutions for x are found, check to make sure they work. In the equation x^2 + 5x + 6 = 0, it was found that x = -2, -3. Replace x in the equation with each of the solution values. So, [-2]^2 + 5(-2) + 6 = 0 turns into 4 - 10 + 6 = 0, which is correct, and [-3]^2 + 5(-3) + 6 = 0 becomes 9 - 15 + 6 = 0, which is also correct.

Learn more about Algebra-
Q:
## What Is an Expression in Math?

A: An expression is a group of connected numbers, operations such as addition and multiplication, and unknown variables represented by letters of the alphabet... Full Answer >Filed Under: -
Q:
## What Is an Algebraic Expression for the Phrase "10 More Than a Number"?

A: The algebraic expression for ?10 more than a number? is ?x + 10? or ?10 + x?. The ?x? in the expression is called a variable, which can be represented by a... Full Answer >Filed Under: -
Q:
## How Do You Evaluate Algebraic Expressions?

A: To evaluate an algebraic expression, take the given values for the variables, and plug them in to see what the result is. Evaluating an algebra expression ... Full Answer >Filed Under: -
Q:
## What Does "PEMDAS" Stand For?

A: "PEMDAS" is an acronym for the order in which operations are performed in a mathematical expression: parentheses, exponents, multiplication, division, addi... Full Answer >Filed Under: