Introduction to Factoring Trinomials Calculator
Factoring Trinomials Calculator is an online algebraic expression trinomial factorer tool that is used to find the factors of trinomial polynomial equations. Our calculator evaluates the common factor of three polynomial terms and gives the solution in binomial terms in a couple of seconds.
What is the Factoring Trinomial?
Factoring trinominal is an algebraic method that is used to solve the polynomial trinomial terms (factor the trinomial) and is used to get the solution in binomial form.
It has three terms where a is the leading factor,b is the middle term, and c is called the constant value. Here trinomial means three terms are involved to find the common factor using the factorization method easily.
Standard Form Used by Factor Trinomials Calculator:
Factoring terminal standard form is similar to the quadratic equation because of polynomials are involved. Our factoring trinomials calculator uses the following form to solve such problems,
$$ ax^2+bx+c \;=\; (px + m)(qx + n) $$
$$ \;=\; pqx^2 + pnx + qmx + mn $$
$$ \;=\; pqx^2 + (pn + qm)x + mn $$
$$ a \;=\; pq \;and\; b \;=\; pn + qm, where c \;=\; mn $$
Working Method of Trinomial Factoring Calculator:
Factor trinomials calculator uses a common factorization method for factoring a trinomial question easily and quickly. You can give various types of polynomial equations to find the solution of common factors because it has up-to-date features on its server.
When you add a trinomial term in the factor trinomial calculator, it will check the leading terms a and constant c. Then it multiplies a term with a c term without taking its sign (positive or negative) as a*c=p after multiplication it gets a particular number p.
After that the trinomial factorer tool finds two numbers (r,s) that product is that particular number r*s=p, and when you do addition or subtraction of these two number (r+s=b=r-s) it gives the value of b term.
Now factoring trinomial calculator substitutes two numbers r and s in the given trinominal equation as ax2+s+r+c=0. It finds the common factor after substitution in the equation. The solution express as a trinomial in the form of (x+k), and (x+y) in binomial terms. Here k and y are the supposed terms only.
To get clarity about this we have given an example to let you know about the calculations and working method of the factoring trinomials calculator.
Factor the Trinomial - Example
An example of a trinomial factoring question is given to let you know the manual calculations and working method of trinomial factoring calculator as well to know how it gave solutions so you may understand the calculations and results properly.
Example:
$$ Factor \;=\; x^2 + 12x + 20 $$
$$ x^2 + 12x + 20 \;=\; (\; \; \; )(\; \; \; ) $$
Solution:
$$ x^2 + 12x + 20 \;=\; (x \; )(x \; ) $$
$$ 20 \;=\; 1 . 20 \to 1 + 20 \;=\; 21 $$
$$ 2 . 10 \to 2 + 10 \;=\; 12 $$
$$ 4 . 5 \to 4 + 5 \;=\; 9 $$
$$ x^2 + 12x + 20 \;=\; (x + 2)(x + 10) $$
$$ \begin{matrix} First\; term & Middle\; Term & Last \; Term \\ (x+2)(x+10) & (x + 2)(x + 10) & (x + 2)(x + 10) \\ \end{matrix} $$
Multiplying the binomials,
$$ (x + 2)(x +10) \;=\; x^2 + 10x + 2x + 20 $$
$$ x^2 + 12x + 20 $$
How to Use the Factoring Trinomials Calculator?
Factor Trinomials calculator has a simple design that allows you to solve various types of polynomial equation problems instantly. For this you need to follow our instructions then you won't find any trouble during calculation. These steps are:
- Enter the coefficient a,b and c values in the input field of trinomial factor calculator.
- Check your function before pressing the calculate button to the actual solution as per your given input.
- Click the “Calculate” button for factoring a trinomial.
Click the “Recalculate” button for more evaluation of factoring Trinomials examples. - You can use the load example to see the evaluation process of factoring Trinomial terms in our trinomial factoring calculator.
Outcomes from Factor Trinomial Calculator
Factoring Trinomials Calculator gives you a solution of your input function in less than a minute when you click the calculate button because the calculation process has started. It may include as:
In result box
You get the solution of a polynomial equation problem in binomial form.
Steps box
Click on the steps option so that you get the given solution in a step-by-step method.
Benefits of Using Factoring Trinomial Calculator
Factor trinomials calculator is a wonderful tool for solving trinomial values as this tool gives you multiple benefits whenever you use it for calculating various types of polynomial equation problems using the common factor method. These advantages are:
- The trinomial factoring calculator is a trustworthy tool as it always provides you with accurate results of factoring a trinomial value.
- The factor trinomial calculator is a speedy tool that evaluates the trinominal terms in a couple of seconds without making a manual effort for its solution.
- Our trinomial factor calculator has advanced features that allow you to solve various types of factoring trinomial problems
- It is a free tool so you can use it for calculation without paying any charges
- Factor trinomials (a=1) calculator is used for practice the factor by the trinomial examples of different kinds to solve trinominal values without any limit
- It has a simple design anyone or even a beginner can easily use it.
- You can operate the factoring trinomials calculator on a desktop, mobile, or laptop.
