Factoring and Solving Quadratic Equations

To simplify the expression

To determine the values of x that satisfy the equation

To find the greatest common factor

To convert the expression into a polynomial

Check for a difference of squares

Identify the zero product property

Simplify the expression

Find the greatest common factor

By multiplying the numbers

By adding the numbers

By dividing the larger number by the smaller number

By subtracting the smaller number from the larger number

A single term

A trinomial

Two binomials

A monomial

Both negative

One positive and one negative

No signs are used

Both positive

If a product is zero, at least one of the factors must be zero

If a product is zero, the factors are negative

If a product is zero, all factors must be non-zero

If a product is zero, the factors are equal

Divide all factors by zero

Add all factors together

Multiply all factors together

Set each factor equal to zero and solve for x

Check for solutions

Apply the zero product property

Factor the equation

Simplify the equation

By multiplying the solutions

By dividing the solutions

By substituting the solutions back into the original equation

By graphing the equation

In braces or with x

As a fraction

As a single number

As a decimal