2nd Degree Polynomial

The 2^nd Degree Polynomial equation computes a second degree polynomial where a, b, and c are each multiplicative constants and x is the independent variable.  

INSTRUCTIONS: Enter the following:

• (a) Coefficient of x² 
• (b) Coefficient of x 
• (c) Constant
• (x) Value of x

2^nd Degree Polynomial (y): The calculator returns the value of y.  

Plotting: This calculator has plotting enabled.  You can enter the coefficients (a-c) above, and then provide a range for x in the plot menu.  The plot will show the y = f(x) graph based on the 2^nd  degree polynomial constants entered.

The Math / Science

A second degree polynomial is an equation of the form:

       `y = ax^2 + bx + c`   

where:

• y = dependent value
• a and b = coefficients of the polynomial
• c = constant adder
• x = independent value

Second degree polynomials are also used for the graph of the conic section, parabolas.

Polynomial Calculators

• Linear Equation: y = ax+b
• Second Degree Polynomial: y = ax² + bx  + c
• Third Degree Polynomial: y = ax³ + bx²  + cx + d
• Fourth Degree Polynomial: y = ax⁴ + bx³  + cx² + dx + e
• Fifth Degree Polynomial: y = ax⁵ + bx⁴  + cx³ + dx² + ex + f
• Sixth Degree Polynomial: y = ax⁶ + bx⁵  + cx⁴ + dx³ + ex² + fx + g