Trinomial Factoring Calculator

How to Use the Trinomial Factoring Calculator

This guide will help you use the Trinomial Factoring Calculator efficiently. The calculator is designed to factor trinomials of the form ax² + bx + c by finding its roots (factors).

Step 1: Input Coefficients

Begin by entering the coefficients and constant for your trinomial equation into the calculator:

• Coefficient a: Enter the coefficient of x² in the designated field (labelled as “Coefficient a (ax²)”). Ensure your value is between -1000 and 1000, inclusive. This field is mandatory.
• Coefficient b: Enter the coefficient of x in the respective field (labelled as “Coefficient b (bx)”). The accepted range is from -1000 to 1000, and it is required to fill in this field as well.
• Constant c: Enter the constant term in the field labelled as “Constant c”. Like the previous fields, this must be a value from -1000 to 1000 and is essential for the calculation.

Step 2: Calculate the Discriminant

With the coefficients entered, the calculator will calculate the discriminant using the formula:

Discriminant = b² – 4ac

The value of the discriminant is crucial as it determines the nature of the roots (real or complex) and influences the factorization of the trinomial.

Step 3: Determine the Roots

Based on the discriminant value, the calculator will proceed to find the roots using the quadratic formula:

• First Factor: Calculated as ((-b + sqrt{b² – 4ac}) / (2a)).
• Second Factor: Calculated as ((-b – sqrt{b² – 4ac}) / (2a)).

The calculator will provide the roots rounded to two decimal places.

Step 4: Display the Factored Form

Finally, the calculator will produce the factored form of the trinomial as:

Factored Form = a(x – factor1)(x – factor2)

Finish by reviewing the factored equation provided. Using these steps, you can successfully factor any quadratic trinomial using the Trinomial Factoring Calculator.