Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors. The number 24, for instance, results when you multiply the factors of 6 and 4, 8 and 3, 12 and 2, and 24 and 1.
When should you use factoring?
Factoring is usually faster and less prone to arithmetic mistakes (if you are working by hand). If the coefficient of x2 and the coefficient with no x element have relatively few factors, time invested in attempting to factor the quadratic is usually worthwhile.
What is the factoring method used for?
Factoring out the greatest common factor of a polynomial can be an important part of simplifying an expression. In this tutorial, you get step-by-step instructions on how to identify and factor out the greatest common factor.
How can factoring polynomials be used in real life?
It is used in bond trading and mortgage calculations. The polynomial is of high order, for example, with an interest term with exponent 360 for a 30-year mortgage. This is not a formula that can be factored. Instead, if the interest needs to be calculated, it is solved for by computer or calculator.
Why do we use factoring in quadratic equation?
Often the easiest method of solving a quadratic equation is factoring. Factoring means finding expressions that can be multiplied together to give the expression on one side of the equation. If a quadratic equation can be factored, it is written as a product of linear terms.
What method of factoring should be used first?
greatest common factor The first method for factoring polynomials will be factoring out the greatest common factor. When factoring in general this will also be the first thing that we should try as it will often simplify the problem. Lets take a look at some examples.
What is the purpose of factoring polynomials?
Factoring is an important process that helps us understand more about our equations. Through factoring, we rewrite our polynomials in a simpler form, and when we apply the principles of factoring to equations, we yield a lot of useful information. There are a lot of different factoring techniques.
Why do we equate equations to zero?
Essentially, the zero is stating where the equation intersects with the x axis, because when y = 0, the the equation is on the x axis. Also, it makes it really convenient for equations like y=8x2−16x−8 because when finding the root (or solution) (or value of x when = 0), we can divide out the 8.
How are you going to use factoring in real life problems?
Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel.
What are the rules of factoring?
General Factoring StrategyCheck for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.Determine the number of terms in the polynomial. a. Look for factors that can be factored further.Check by multiplying.