- #1
autodidude
- 333
- 0
y = a(x-b)^3 + c
I'm not sure what it's called, my book doesn't mention on how it's derived.
I'm not sure what it's called, my book doesn't mention on how it's derived.
The standard form of a cubic equation is ax^3 + bx^2 + cx + d = 0, where a, b, c, and d are constants and a is not equal to 0.
To convert a cubic equation into standard form, you must first ensure that the equation is in descending order. Then, you can factor out the leading coefficient and use the quadratic formula to solve for the remaining roots.
Converting a cubic equation into standard form allows for easier identification of the leading coefficient and the constant term, which can provide insights into the behavior of the equation. It also simplifies the process of solving the equation.
Yes, all cubic equations can be converted into standard form as long as the equation does not contain any imaginary or complex numbers.
Besides standard form, a cubic equation can also be written in factored form, which is (x - r)(x - s)(x - t) = 0, where r, s, and t are the roots of the equation. It can also be written in vertex form, which is a(x - h)^3 + k = 0, where (h, k) is the vertex of the cubic function.