How To Create A Cubic Function In Python 3 With Code Examples

In this article, we will look at how to get the solution for the problem, How To Create A Cubic Function In Python 3 With Code Examples

How do you write a cubic polynomial in standard form?

The standard form of a cubic function p(x) = ax3 + bx2 + cx + d, where the highest degree of this polynomial is 3.

``````def f(x):
return 3*x**3 + 2*x**2 + 7*x + 1
```
```

What does a cubic function look like?

A cubic function has the standard form of f(x) = ax3 + bx2 + cx + d. The "basic" cubic function is f(x) = x3.

What is cubic equation with example?

So, cubic equations can have just one term as long as it has an exponent of 3. It can also have up to four terms. For example, 4x^3 = 0 is a cubic equation, as is 4x^3 + 3x^2 + 2x + 1 = 0. Notice that both of these cubic equations have that little 3 as the highest exponent.

The solution to the cubic (as well as the quartic) was published by Gerolamo Cardano (1501-1576) in his treatise Ars Magna. However, Cardano was not the original discoverer of either of these results. The hint for the cubic had been provided by Niccolò Tartaglia, while the quartic had been solved by Ludovico Ferrari.

Who created cubic function?

This method is due to Scipione del Ferro and Tartaglia, but is named after Gerolamo Cardano who first published it in his book Ars Magna (1545).

How do you write the cubic function given the roots?

Approach: Let the root of the cubic equation (ax3 + bx2 + cx + d = 0) be A, B and C. Then the given cubic equation can be represents as: ax3 + bx2 + cx + d = x3 – (A + B + C)x2 + (AB + BC +CA)x + A*B*C = 0. Therefore using the above relation find the value of X, Y, and Z and form the required cubic equation.

How do you write a cubic function?

A cubic function is one in the form f(x)=ax3+bx2+cx+d .

Is there a cubic formula?

The cubic formula tells us the roots of polynomials of the form ax3 +bx2 + cx + d. Equivalently, the cubic formula tells us the solutions of equations of the form ax3 + bx2 + cx + d = 0.

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