The emphasis on bracketing the root may sometimes restrict the false position method in difficult situations while solving highly nonlinear equations. Newton-Raphson Method The Newton-Raphson method finds the slope (the tangent line) of the function at the current point and uses the zero of the tangent line as the next reference point. For specific calculations related to area and length, try our trapezoid area calculator & arc length calculator free online. What is the Discriminant in Math? A quantity of an polynomial equation which depends on the function of coefficients to find the different properties of the roots. It is defined as the polynomial function of its coefficients. calculator. Try to create a polynomial function with an interesting shape and some turning points. Be creative! You’re trying to express yourself in this graph! *notice the change in the 2 graphs below by just changing 3 positive signs to negative! 4. Analyze your polynomial (using your calculator) by finding these characteristics: a.