Question

Which of the following circumstances would likely make factoring the best method for solving a quadratic equation

Answer 1

When we are solving an equation the goal is to find the values which would make that equation equal to "0". Therefore if we have a quadratic equation of the following form:

`ax^2\text{ + bx + c = 0}`

If it is possible to express it in a form with two perfect squares we can rewrite it as follows:

`(x-r)^2\text{ = 0}`

Where "r" is the root of the equation, its solution, therefore this would be the best method for solving it. Let's check an example:

`\begin{gathered} x^2\text{ - 4x + 4 = 0} \\ (x\text{ -}2)^2\text{ = 0} \end{gathered}`

The answer to this quadratic equation is 2.