Rational Zeros Calculator

Step-by-Step Guide to Using the Rational Zeros Calculator

Step 1: Select the Polynomial Degree

Start by choosing the degree of the polynomial you are evaluating. The calculator supports options from 1st degree to 4th degree polynomials. Use the dropdown menu labeled Polynomial Degree to select the appropriate degree that matches your polynomial equation.

Step 2: Enter the Coefficients

Depending on the degree of your polynomial, you will need to input different coefficients. These are represented by the fields for 4th Degree Coefficient, 3rd Degree Coefficient, 2nd Degree Coefficient, and 1st Degree Coefficient. Ensure you enter the coefficients accurately to represent your polynomial. The 1st degree coefficient is mandatory for the calculation.

• If you have a 4th degree polynomial, fill in the coefficients for all degrees.
• If you have a 3rd degree polynomial, use the fields up to the 3rd degree coefficient.
• For 2nd and 1st degree polynomials, input the coefficients relevant to those degrees only.

Remember to enter these values in the numeric field provided. Each field has validation rules, allowing values from -1000 to 1000 with steps of 0.01.

Step 3: Enter the Constant Term

The Constant Term field is required for every polynomial. Enter the constant term of the polynomial in the designated field. The input must also adhere to the same range and step validation as the coefficients.

Step 4: Review Possible Rational Zeros

After entering all necessary values, the calculator will calculate the Possible Rational Zeros. These zeros are derived by dividing possible factors of the constant term by the possible factors of the leading coefficient, as specified by the polynomial degree selected.

Step 5: Analyze Actual Rational Zeros

The calculator further refines possible zeros to provide Actual Rational Zeros. This is an important step as it verifies which potential zeros are actual solutions based on the given polynomial coefficients and constant term.

Step 6: Obtain the Factored Form

Finally, using the actual rational zeros, the calculator assembles the polynomial in its Factored Form. This form highlights the structure of the polynomial equation with its roots, showcasing a format like (x - root).