3rd Degree Polynomial

The 3^rd Degree Polynomial equation computes a third degree polynomial where a, b, c, and d are each multiplicative constants and x is the independent variable.  

INSTRUCTIONS: Enter the following:

• [a,b,c,d] Coefficients of ax³ + bx² + cx + d
• (x) value of x

3^rd Degree Polynomial (y): The calculator returns the value of y.  

Plotting: This calculator has plotting enabled.  You can enter the coefficients (a-d) above, and then provide a range for x in the plot menu.  The plot will show the y = f(x) graph based on the 3^rd  degree polynomial constants entered.

The Math / Science

A third degree polynomial is an equation of the form:

       `y = ax^3 + bx^2 + cx + d`   

where:

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

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